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Finding the Fourth Proportional to 1,724.78, 2,380.20 and 938.83

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Solution

The fourth proportional to 1,724.78, 2,380.20 and 938.83 is: 1,295.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.78 : 2,380.20 = 938.83 : x
  2. Step 2: Convert to fraction form
    1,724.78/2,380.20 = 938.83/x
  3. Step 3: Cross multiply
    1,724.78x = 2,380.20 × 938.83
  4. Step 4: Simplify right side
    1,724.78x = 2,234,603.17
  5. Step 5: Solve for x
    x = 2,234,603.17/1,724.78
  6. Step 6: Final answer
    x = 1,295.59

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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.