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Finding the Fourth Proportional to 1,724.70, 2,380.97 and 1,168.11

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Solution

The fourth proportional to 1,724.70, 2,380.97 and 1,168.11 is: 1,612.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.70 : 2,380.97 = 1,168.11 : x
  2. Step 2: Convert to fraction form
    1,724.70/2,380.97 = 1,168.11/x
  3. Step 3: Cross multiply
    1,724.70x = 2,380.97 × 1,168.11
  4. Step 4: Simplify right side
    1,724.70x = 2,781,229.03
  5. Step 5: Solve for x
    x = 2,781,229.03/1,724.70
  6. Step 6: Final answer
    x = 1,612.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.