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Finding the Fourth Proportional to 1,724.68, 2,380.06 and 938.73

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Solution

The fourth proportional to 1,724.68, 2,380.06 and 938.73 is: 1,295.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.68 : 2,380.06 = 938.73 : x
  2. Step 2: Convert to fraction form
    1,724.68/2,380.06 = 938.73/x
  3. Step 3: Cross multiply
    1,724.68x = 2,380.06 × 938.73
  4. Step 4: Simplify right side
    1,724.68x = 2,234,233.72
  5. Step 5: Solve for x
    x = 2,234,233.72/1,724.68
  6. Step 6: Final answer
    x = 1,295.45

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Why These Related Problems?

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