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Finding the Fourth Proportional to 2,834.20, 4,243.20 and 2,180.80

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Solution

The fourth proportional to 2,834.20, 4,243.20 and 2,180.80 is: 3,264.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.20 : 4,243.20 = 2,180.80 : x
  2. Step 2: Convert to fraction form
    2,834.20/4,243.20 = 2,180.80/x
  3. Step 3: Cross multiply
    2,834.20x = 4,243.20 × 2,180.80
  4. Step 4: Simplify right side
    2,834.20x = 9,253,570.56
  5. Step 5: Solve for x
    x = 9,253,570.56/2,834.20
  6. Step 6: Final answer
    x = 3,264.97

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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.