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Finding the Fourth Proportional to 2,196.28, 3,295.52 and 963.70

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Solution

The fourth proportional to 2,196.28, 3,295.52 and 963.70 is: 1,446.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.28 : 3,295.52 = 963.70 : x
  2. Step 2: Convert to fraction form
    2,196.28/3,295.52 = 963.70/x
  3. Step 3: Cross multiply
    2,196.28x = 3,295.52 × 963.70
  4. Step 4: Simplify right side
    2,196.28x = 3,175,892.62
  5. Step 5: Solve for x
    x = 3,175,892.62/2,196.28
  6. Step 6: Final answer
    x = 1,446.03

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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.