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Finding the Fourth Proportional to 3,112.97, 4,296.39 and 1,993.85

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Solution

The fourth proportional to 3,112.97, 4,296.39 and 1,993.85 is: 2,751.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.97 : 4,296.39 = 1,993.85 : x
  2. Step 2: Convert to fraction form
    3,112.97/4,296.39 = 1,993.85/x
  3. Step 3: Cross multiply
    3,112.97x = 4,296.39 × 1,993.85
  4. Step 4: Simplify right side
    3,112.97x = 8,566,335.72
  5. Step 5: Solve for x
    x = 8,566,335.72/3,112.97
  6. Step 6: Final answer
    x = 2,751.83

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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.