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Finding the Fourth Proportional to 2,391.42, 3,585.87 and 747.53

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Solution

The fourth proportional to 2,391.42, 3,585.87 and 747.53 is: 1,120.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.42 : 3,585.87 = 747.53 : x
  2. Step 2: Convert to fraction form
    2,391.42/3,585.87 = 747.53/x
  3. Step 3: Cross multiply
    2,391.42x = 3,585.87 × 747.53
  4. Step 4: Simplify right side
    2,391.42x = 2,680,540.92
  5. Step 5: Solve for x
    x = 2,680,540.92/2,391.42
  6. Step 6: Final answer
    x = 1,120.90

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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.