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Finding the Fourth Proportional to 1,565.77, 2,349.79 and 1,261.30

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Solution

The fourth proportional to 1,565.77, 2,349.79 and 1,261.30 is: 1,892.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.77 : 2,349.79 = 1,261.30 : x
  2. Step 2: Convert to fraction form
    1,565.77/2,349.79 = 1,261.30/x
  3. Step 3: Cross multiply
    1,565.77x = 2,349.79 × 1,261.30
  4. Step 4: Simplify right side
    1,565.77x = 2,963,789.30
  5. Step 5: Solve for x
    x = 2,963,789.30/1,565.77
  6. Step 6: Final answer
    x = 1,892.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.