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Finding the Fourth Proportional to 1,724.40, 2,379.54 and 938.43

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Solution

The fourth proportional to 1,724.40, 2,379.54 and 938.43 is: 1,294.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.40 : 2,379.54 = 938.43 : x
  2. Step 2: Convert to fraction form
    1,724.40/2,379.54 = 938.43/x
  3. Step 3: Cross multiply
    1,724.40x = 2,379.54 × 938.43
  4. Step 4: Simplify right side
    1,724.40x = 2,233,031.72
  5. Step 5: Solve for x
    x = 2,233,031.72/1,724.40
  6. Step 6: Final answer
    x = 1,294.96

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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.