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Finding the Fourth Proportional to 2,452.16, 3,677 and 892.10

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Solution

The fourth proportional to 2,452.16, 3,677 and 892.10 is: 1,337.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.16 : 3,677 = 892.10 : x
  2. Step 2: Convert to fraction form
    2,452.16/3,677 = 892.10/x
  3. Step 3: Cross multiply
    2,452.16x = 3,677 × 892.10
  4. Step 4: Simplify right side
    2,452.16x = 3,280,251.70
  5. Step 5: Solve for x
    x = 3,280,251.70/2,452.16
  6. Step 6: Final answer
    x = 1,337.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.