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Finding the Fourth Proportional to 2,481.08, 3,722.09 and 749.70

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Solution

The fourth proportional to 2,481.08, 3,722.09 and 749.70 is: 1,124.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481.08 : 3,722.09 = 749.70 : x
  2. Step 2: Convert to fraction form
    2,481.08/3,722.09 = 749.70/x
  3. Step 3: Cross multiply
    2,481.08x = 3,722.09 × 749.70
  4. Step 4: Simplify right side
    2,481.08x = 2,790,447.12
  5. Step 5: Solve for x
    x = 2,790,447.12/2,481.08
  6. Step 6: Final answer
    x = 1,124.69

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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.