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Finding the Fourth Proportional to 2,463.87, 3,694.88 and 1,002.53

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Solution

The fourth proportional to 2,463.87, 3,694.88 and 1,002.53 is: 1,503.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.87 : 3,694.88 = 1,002.53 : x
  2. Step 2: Convert to fraction form
    2,463.87/3,694.88 = 1,002.53/x
  3. Step 3: Cross multiply
    2,463.87x = 3,694.88 × 1,002.53
  4. Step 4: Simplify right side
    2,463.87x = 3,704,204.56
  5. Step 5: Solve for x
    x = 3,704,204.56/2,463.87
  6. Step 6: Final answer
    x = 1,503.41

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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.