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Finding the Fourth Proportional to 1,724.27, 2,379.53 and 938.35

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Solution

The fourth proportional to 1,724.27, 2,379.53 and 938.35 is: 1,294.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.27 : 2,379.53 = 938.35 : x
  2. Step 2: Convert to fraction form
    1,724.27/2,379.53 = 938.35/x
  3. Step 3: Cross multiply
    1,724.27x = 2,379.53 × 938.35
  4. Step 4: Simplify right side
    1,724.27x = 2,232,815.39
  5. Step 5: Solve for x
    x = 2,232,815.39/1,724.27
  6. Step 6: Final answer
    x = 1,294.93

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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.