The part size, in relationship to the radius of curvature, is such that you might get away doing the following:
-Create 2 projected curves through the center of your part, one parallel to x, one to y so that you can measure their length.
-On a suitable plane for a projection, open a sketch and convert the perimeter edges.
-measure your distances in x and y at the same points your curve goes through.
-create a flat solid from the converted edges
-do a non-uniform scaling of the part ( ie for x, curve length/projected length... probably in the neighborhood of 1.05 )
That should get you pretty darn close, probably as close as most forming software.