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Finding the Fourth Proportional to 3,434.87, 5,153.76 and 1,681.43

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Solution

The fourth proportional to 3,434.87, 5,153.76 and 1,681.43 is: 2,522.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.87 : 5,153.76 = 1,681.43 : x
  2. Step 2: Convert to fraction form
    3,434.87/5,153.76 = 1,681.43/x
  3. Step 3: Cross multiply
    3,434.87x = 5,153.76 × 1,681.43
  4. Step 4: Simplify right side
    3,434.87x = 8,665,660.91
  5. Step 5: Solve for x
    x = 8,665,660.91/3,434.87
  6. Step 6: Final answer
    x = 2,522.85

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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.