Which organization, established in 1984, has encouraged many American dance companies to take new risks by funding their collaboration with progressive choreographers?

The National Choreography Project

Explanation:

The National Choreography Project (NCP) a company that was established in 1984, it has assisted many American dance companies in risk taking by helping them with funds in their collaboration with various progressive choreographers.

The companies consequently gained new works for their repertories, while the benefits of the choreographers includes a wider exposure of their creations and the chance to work with large scale groups and be involved in large scale projects.

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