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Finding the Fourth Proportional to 2,713.72, 3,743.27 and 2,397.97

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Solution

The fourth proportional to 2,713.72, 3,743.27 and 2,397.97 is: 3,307.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.72 : 3,743.27 = 2,397.97 : x
  2. Step 2: Convert to fraction form
    2,713.72/3,743.27 = 2,397.97/x
  3. Step 3: Cross multiply
    2,713.72x = 3,743.27 × 2,397.97
  4. Step 4: Simplify right side
    2,713.72x = 8,976,250.84
  5. Step 5: Solve for x
    x = 8,976,250.84/2,713.72
  6. Step 6: Final answer
    x = 3,307.73

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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.