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Finding the Fourth Proportional to 1,724.89, 2,380.39 and 938.95

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Solution

The fourth proportional to 1,724.89, 2,380.39 and 938.95 is: 1,295.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.89 : 2,380.39 = 938.95 : x
  2. Step 2: Convert to fraction form
    1,724.89/2,380.39 = 938.95/x
  3. Step 3: Cross multiply
    1,724.89x = 2,380.39 × 938.95
  4. Step 4: Simplify right side
    1,724.89x = 2,235,067.19
  5. Step 5: Solve for x
    x = 2,235,067.19/1,724.89
  6. Step 6: Final answer
    x = 1,295.77

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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.