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Finding the Fourth Proportional to 2,397.85, 3,597.92 and 1,011.53

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Solution

The fourth proportional to 2,397.85, 3,597.92 and 1,011.53 is: 1,517.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.85 : 3,597.92 = 1,011.53 : x
  2. Step 2: Convert to fraction form
    2,397.85/3,597.92 = 1,011.53/x
  3. Step 3: Cross multiply
    2,397.85x = 3,597.92 × 1,011.53
  4. Step 4: Simplify right side
    2,397.85x = 3,639,404.02
  5. Step 5: Solve for x
    x = 3,639,404.02/2,397.85
  6. Step 6: Final answer
    x = 1,517.78

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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.