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Finding the Fourth Proportional to 1,565.20, 2,348.15 and 591.31

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Solution

The fourth proportional to 1,565.20, 2,348.15 and 591.31 is: 887.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.20 : 2,348.15 = 591.31 : x
  2. Step 2: Convert to fraction form
    1,565.20/2,348.15 = 591.31/x
  3. Step 3: Cross multiply
    1,565.20x = 2,348.15 × 591.31
  4. Step 4: Simplify right side
    1,565.20x = 1,388,481.62
  5. Step 5: Solve for x
    x = 1,388,481.62/1,565.20
  6. Step 6: Final answer
    x = 887.10

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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.