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Finding the Fourth Proportional to 2,463.76, 3,695.29 and 1,002.57

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Solution

The fourth proportional to 2,463.76, 3,695.29 and 1,002.57 is: 1,503.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.76 : 3,695.29 = 1,002.57 : x
  2. Step 2: Convert to fraction form
    2,463.76/3,695.29 = 1,002.57/x
  3. Step 3: Cross multiply
    2,463.76x = 3,695.29 × 1,002.57
  4. Step 4: Simplify right side
    2,463.76x = 3,704,781.88
  5. Step 5: Solve for x
    x = 3,704,781.88/2,463.76
  6. Step 6: Final answer
    x = 1,503.71

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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.