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Finding the Fourth Proportional to 1,566.29, 2,349.43 and 1,256.62

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Solution

The fourth proportional to 1,566.29, 2,349.43 and 1,256.62 is: 1,884.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.29 : 2,349.43 = 1,256.62 : x
  2. Step 2: Convert to fraction form
    1,566.29/2,349.43 = 1,256.62/x
  3. Step 3: Cross multiply
    1,566.29x = 2,349.43 × 1,256.62
  4. Step 4: Simplify right side
    1,566.29x = 2,952,336.42
  5. Step 5: Solve for x
    x = 2,952,336.42/1,566.29
  6. Step 6: Final answer
    x = 1,884.92

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