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Finding the Fourth Proportional to 2,472.85, 3,706.84 and 1,374.95

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Solution

The fourth proportional to 2,472.85, 3,706.84 and 1,374.95 is: 2,061.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.85 : 3,706.84 = 1,374.95 : x
  2. Step 2: Convert to fraction form
    2,472.85/3,706.84 = 1,374.95/x
  3. Step 3: Cross multiply
    2,472.85x = 3,706.84 × 1,374.95
  4. Step 4: Simplify right side
    2,472.85x = 5,096,694.25
  5. Step 5: Solve for x
    x = 5,096,694.25/2,472.85
  6. Step 6: Final answer
    x = 2,061.06

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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.