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Finding the Fourth Proportional to 3,112.97, 4,283.15 and 2,691.97

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Solution

The fourth proportional to 3,112.97, 4,283.15 and 2,691.97 is: 3,703.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.97 : 4,283.15 = 2,691.97 : x
  2. Step 2: Convert to fraction form
    3,112.97/4,283.15 = 2,691.97/x
  3. Step 3: Cross multiply
    3,112.97x = 4,283.15 × 2,691.97
  4. Step 4: Simplify right side
    3,112.97x = 11,530,087.14
  5. Step 5: Solve for x
    x = 11,530,087.14/3,112.97
  6. Step 6: Final answer
    x = 3,703.89

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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.