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Finding the Fourth Proportional to 1,687.97, 2,530.78 and 809.43

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Solution

The fourth proportional to 1,687.97, 2,530.78 and 809.43 is: 1,213.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.97 : 2,530.78 = 809.43 : x
  2. Step 2: Convert to fraction form
    1,687.97/2,530.78 = 809.43/x
  3. Step 3: Cross multiply
    1,687.97x = 2,530.78 × 809.43
  4. Step 4: Simplify right side
    1,687.97x = 2,048,477.74
  5. Step 5: Solve for x
    x = 2,048,477.74/1,687.97
  6. Step 6: Final answer
    x = 1,213.57

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