Point Coordinates Conversion with unknown system

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I've been using QGis for few weeks now. Although this site always came very helpful, I can't find solution to my recent problem:

I have few points, and know their coordinates in "WGS-84" and "ISN-93" systems. Those points also have specified coordinates in "Local" system.

The problem is that there are also few points that only have "Local" coordinates, and I would like to find their "ISN-93" coordinates.

How can I do it?

*for example:

point1 ISN93 (685320.253,420614.733) Local (-3537.239,2284.487)

point2 ISN93 (685841.253,420586.536) Local (-3016.528,2248.842)

point3 ISN93 (?,?) Local (-5187.996,2584.508)

I was trying to use simple geometry, but when I measure distance between points, ISN93 system gives slightly different lengths than Local (difference vary between lengths to up to 0,01% of its value), so it's no use.



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