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Finding the Fourth Proportional to 2,470.07, 3,706.56 and 911.17

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Solution

The fourth proportional to 2,470.07, 3,706.56 and 911.17 is: 1,367.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.07 : 3,706.56 = 911.17 : x
  2. Step 2: Convert to fraction form
    2,470.07/3,706.56 = 911.17/x
  3. Step 3: Cross multiply
    2,470.07x = 3,706.56 × 911.17
  4. Step 4: Simplify right side
    2,470.07x = 3,377,306.28
  5. Step 5: Solve for x
    x = 3,377,306.28/2,470.07
  6. Step 6: Final answer
    x = 1,367.29

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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.