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Finding the Fourth Proportional to 1,977.83, 2,964.43 and 807.10

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Solution

The fourth proportional to 1,977.83, 2,964.43 and 807.10 is: 1,209.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.83 : 2,964.43 = 807.10 : x
  2. Step 2: Convert to fraction form
    1,977.83/2,964.43 = 807.10/x
  3. Step 3: Cross multiply
    1,977.83x = 2,964.43 × 807.10
  4. Step 4: Simplify right side
    1,977.83x = 2,392,591.45
  5. Step 5: Solve for x
    x = 2,392,591.45/1,977.83
  6. Step 6: Final answer
    x = 1,209.71

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