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Finding the Fourth Proportional to 2,195.13, 3,294.24 and 961.92

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Solution

The fourth proportional to 2,195.13, 3,294.24 and 961.92 is: 1,443.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.13 : 3,294.24 = 961.92 : x
  2. Step 2: Convert to fraction form
    2,195.13/3,294.24 = 961.92/x
  3. Step 3: Cross multiply
    2,195.13x = 3,294.24 × 961.92
  4. Step 4: Simplify right side
    2,195.13x = 3,168,795.34
  5. Step 5: Solve for x
    x = 3,168,795.34/2,195.13
  6. Step 6: Final answer
    x = 1,443.56

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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.