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Finding the Fourth Proportional to 3,374.60, 5,061.90 and 1,729.76

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Solution

The fourth proportional to 3,374.60, 5,061.90 and 1,729.76 is: 2,594.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.60 : 5,061.90 = 1,729.76 : x
  2. Step 2: Convert to fraction form
    3,374.60/5,061.90 = 1,729.76/x
  3. Step 3: Cross multiply
    3,374.60x = 5,061.90 × 1,729.76
  4. Step 4: Simplify right side
    3,374.60x = 8,755,872.14
  5. Step 5: Solve for x
    x = 8,755,872.14/3,374.60
  6. Step 6: Final answer
    x = 2,594.64

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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.