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Finding the Fourth Proportional to 1,524.35, 2,279.79 and 937.91

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Solution

The fourth proportional to 1,524.35, 2,279.79 and 937.91 is: 1,402.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.35 : 2,279.79 = 937.91 : x
  2. Step 2: Convert to fraction form
    1,524.35/2,279.79 = 937.91/x
  3. Step 3: Cross multiply
    1,524.35x = 2,279.79 × 937.91
  4. Step 4: Simplify right side
    1,524.35x = 2,138,243.54
  5. Step 5: Solve for x
    x = 2,138,243.54/1,524.35
  6. Step 6: Final answer
    x = 1,402.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.