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Finding the Fourth Proportional to 2,498.24, 3,747.26 and 938.12

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Solution

The fourth proportional to 2,498.24, 3,747.26 and 938.12 is: 1,407.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.24 : 3,747.26 = 938.12 : x
  2. Step 2: Convert to fraction form
    2,498.24/3,747.26 = 938.12/x
  3. Step 3: Cross multiply
    2,498.24x = 3,747.26 × 938.12
  4. Step 4: Simplify right side
    2,498.24x = 3,515,363.16
  5. Step 5: Solve for x
    x = 3,515,363.16/2,498.24
  6. Step 6: Final answer
    x = 1,407.13

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1.5x scale

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.