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Finding the Fourth Proportional to 2,481.76, 3,723 and 1,249.20

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Solution

The fourth proportional to 2,481.76, 3,723 and 1,249.20 is: 1,873.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481.76 : 3,723 = 1,249.20 : x
  2. Step 2: Convert to fraction form
    2,481.76/3,723 = 1,249.20/x
  3. Step 3: Cross multiply
    2,481.76x = 3,723 × 1,249.20
  4. Step 4: Simplify right side
    2,481.76x = 4,650,771.60
  5. Step 5: Solve for x
    x = 4,650,771.60/2,481.76
  6. Step 6: Final answer
    x = 1,873.98

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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.