KöMaL 2013 K383

Base $AB$ of the regular triangle ABC is extended beyond vertex $A$ by two fifths of the length $AB$, to get point $P$. Point $P$ is connected to the point $Q$ that lies on side $AC$ (closer to $A$) and divides it 2:3. The resulting line intersects line $CB$ at point $R$. Given that $AP$=2684, find the length of $CR$.