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Finding the Fourth Proportional to 2,744.72, 3,789.48 and 2,449.48

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Solution

The fourth proportional to 2,744.72, 3,789.48 and 2,449.48 is: 3,381.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.72 : 3,789.48 = 2,449.48 : x
  2. Step 2: Convert to fraction form
    2,744.72/3,789.48 = 2,449.48/x
  3. Step 3: Cross multiply
    2,744.72x = 3,789.48 × 2,449.48
  4. Step 4: Simplify right side
    2,744.72x = 9,282,255.47
  5. Step 5: Solve for x
    x = 9,282,255.47/2,744.72
  6. Step 6: Final answer
    x = 3,381.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.