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Finding the Fourth Proportional to 2,196.38, 3,296.92 and 1,963.82

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Solution

The fourth proportional to 2,196.38, 3,296.92 and 1,963.82 is: 2,947.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.38 : 3,296.92 = 1,963.82 : x
  2. Step 2: Convert to fraction form
    2,196.38/3,296.92 = 1,963.82/x
  3. Step 3: Cross multiply
    2,196.38x = 3,296.92 × 1,963.82
  4. Step 4: Simplify right side
    2,196.38x = 6,474,557.43
  5. Step 5: Solve for x
    x = 6,474,557.43/2,196.38
  6. Step 6: Final answer
    x = 2,947.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.