How to move one bspline so is tangent to other two

I have 3 splines, and I want to move one of them so is tangent to the other two, is that possible?

I want to move the selected spline to a position where it is perfectly tangent to the two below (which can't be moved).

This was done "by hand":

However, if you zoom in, they are not tangent (to any zoom in):