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Finding the Fourth Proportional to 2,821.20, 4,225.28 and 2,687.28

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Solution

The fourth proportional to 2,821.20, 4,225.28 and 2,687.28 is: 4,024.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.20 : 4,225.28 = 2,687.28 : x
  2. Step 2: Convert to fraction form
    2,821.20/4,225.28 = 2,687.28/x
  3. Step 3: Cross multiply
    2,821.20x = 4,225.28 × 2,687.28
  4. Step 4: Simplify right side
    2,821.20x = 11,354,510.44
  5. Step 5: Solve for x
    x = 11,354,510.44/2,821.20
  6. Step 6: Final answer
    x = 4,024.71

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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.