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Finding the Fourth Proportional to 2,452.57, 3,683.20 and 2,257.15

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Solution

The fourth proportional to 2,452.57, 3,683.20 and 2,257.15 is: 3,389.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.57 : 3,683.20 = 2,257.15 : x
  2. Step 2: Convert to fraction form
    2,452.57/3,683.20 = 2,257.15/x
  3. Step 3: Cross multiply
    2,452.57x = 3,683.20 × 2,257.15
  4. Step 4: Simplify right side
    2,452.57x = 8,313,534.88
  5. Step 5: Solve for x
    x = 8,313,534.88/2,452.57
  6. Step 6: Final answer
    x = 3,389.72

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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.