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Finding the Fourth Proportional to 1,569.56, 2,355.12 and 747.86

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Solution

The fourth proportional to 1,569.56, 2,355.12 and 747.86 is: 1,122.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.56 : 2,355.12 = 747.86 : x
  2. Step 2: Convert to fraction form
    1,569.56/2,355.12 = 747.86/x
  3. Step 3: Cross multiply
    1,569.56x = 2,355.12 × 747.86
  4. Step 4: Simplify right side
    1,569.56x = 1,761,288.27
  5. Step 5: Solve for x
    x = 1,761,288.27/1,569.56
  6. Step 6: Final answer
    x = 1,122.16

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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.