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Finding the Fourth Proportional to 2,744.72, 3,791.40 and 2,615.12

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Solution

The fourth proportional to 2,744.72, 3,791.40 and 2,615.12 is: 3,612.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.72 : 3,791.40 = 2,615.12 : x
  2. Step 2: Convert to fraction form
    2,744.72/3,791.40 = 2,615.12/x
  3. Step 3: Cross multiply
    2,744.72x = 3,791.40 × 2,615.12
  4. Step 4: Simplify right side
    2,744.72x = 9,914,965.97
  5. Step 5: Solve for x
    x = 9,914,965.97/2,744.72
  6. Step 6: Final answer
    x = 3,612.38

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Why These Related Problems?

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