I would say you can get better by practicing. One way to do it would be to practice following games in your head without moving pieces on a board. Then try setting up the resulting position you have fixed in your mind, and check to see how close you are.
I've done a couple of games without a board, in openings I'm kind of familiar with, but I got the positions a little muddled around move 20.
fryedk: From what I've read chess players' visualization skills vary widely even among strong players. That you have reached 1950 without developing much skill at blindfold would seem to be further proof.
I work at visualization for the challenge and with the not-so-secret hope I might breakthrough to greater playing strength. I can't say that's happened except that it does make it easier to remember opening lines. It also gives me something to do while staring into space in a supermarket checkout line.
I'm sure you can practice as Martin recommends and improve. However, it might not matter. That might not have much to do with how your brain plays chess.
How do you "look" ahead three or four moves OTB?
In his book "Practical Chess Analysis", Mark Buckley recommends making flashcards for each square on the chessboard with the answer being the color of the square and the diagonals it sits on. To start, you look at the color/diagonal side and guess the square. Then after you master that, you do it in reverse.
FWIW, I read a study on chess improvement by a student of DeGroot and their belief was that blindfold chess had zero or negative correlation with improving actual OTB strength. So go into learning to play blindford with the idea that you're learning to play blindfold, not improving your actual chess strength.
So I've heard people say that to get to 2000 you will be able to play blindfold games. This is false- I'm 1950 right now, with performance ratings higher than 2100 the last couple months, and I can hardly go 10 moves blindfold, and even these moves are basically opening memorization. I was wondering how to improve on this skill? Right now, I can't even visualize a blank 8-8 chessboard, much less a board filled with pieces.
I am a USCF A player, and can play 1 game blindfolded. Do you know how much that helps me with my game? ZERO...
I've practiced some blindfold... it's frustrating (because I don't play as well) and I feel like it doesn't help at all with sighted chess!!
Pretty similar, but in small doses what has helped, is looking at a diagram (e.g. in a book) and following the notation out to just the point where the position starts to get fuzzy. Stop there and really try to make that position clear in your mind's eye. I test myself by looking for small tactics (if there are none, then refuting those basic tactics).
If the position you made clear in your mind is only a few moves away from the next diagram, see if you can now make it to the next diagram! Sometimes it's very easy. Sometimes it's another 20 moves lol, so I don't go that far.
Anyway, that mimics OTB play, when a position becomes fuzzy but you still need to check for tactics at the end of a line.
Reti reports that when he was young he would spend several hours a day visualizing a chess board with a few pieces and moving them around.
He felt it was an important part of his development but he may have just been a darned talented fellow.
In one of his articles or books -- I haven't been able to find it again -- Pandolfini mentioned that when he was young and excited about chess, he memorized all the games from a Russian chess championship.
That story stuck with me. It seemed to me that Pandolfini would have to (A) visualize each game in his mind's eye and (B) make up some sort of strategic/tactical story for why the pieces were moving as they did.
I wondered how much of a factor that exercise was in his path to becoming a master.
I remember some GM story about when he was a kid he got some book of 40-50 games and over the next 3 months he memorized them to the point that he could review them in his head blindfold style 
Yes, I think great players became great because they put in a lot of work.
But to do some of the work they did required a few natural gifts.
I'm working on memorizing the first 20 or so moves of games I like in the openings I'm learning. I don't know if it helps my playing ability but it does burn that variation into my brain.
I believe it also helps visualization. After doing this a while, it's pretty easy to know what square is what color. (I tried rote memorization of the squares to no avail.)
When I work a puzzle, I don't leave it until I've visualized the solution three or four times.
Who knows if these exercises work, but they are fun mental challenges.
So I've heard people say that to get to 2000 you will be able to play blindfold games. This is false- I'm 1950 right now, with performance ratings higher than 2100 the last couple months, and I can hardly go 10 moves blindfold, and even these moves are basically opening memorization. I was wondering how to improve on this skill? Right now, I can't even visualize a blank 8-8 chessboard, much less a board filled with pieces.
I had that exact same issue. I can't visualize a blank 8 by 8 chessboard, let alone a chessboard filled with pieces. I am not 1900 OTB, but I am rated 1900 rapid, 1800 blitz on this website.
So I've heard people say that to get to 2000 you will be able to play blindfold games. This is false- I'm 1950 right now, with performance ratings higher than 2100 the last couple months, and I can hardly go 10 moves blindfold, and even these moves are basically opening memorization. I was wondering how to improve on this skill? Right now, I can't even visualize a blank 8-8 chessboard, much less a board filled with pieces.