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Finding the Fourth Proportional to 2,195.13, 3,294.55 and 879.80

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Solution

The fourth proportional to 2,195.13, 3,294.55 and 879.80 is: 1,320.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.13 : 3,294.55 = 879.80 : x
  2. Step 2: Convert to fraction form
    2,195.13/3,294.55 = 879.80/x
  3. Step 3: Cross multiply
    2,195.13x = 3,294.55 × 879.80
  4. Step 4: Simplify right side
    2,195.13x = 2,898,545.09
  5. Step 5: Solve for x
    x = 2,898,545.09/2,195.13
  6. Step 6: Final answer
    x = 1,320.44

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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.