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Finding the Fourth Proportional to 2,278.52, 3,414.90 and 2,254.04

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Solution

The fourth proportional to 2,278.52, 3,414.90 and 2,254.04 is: 3,378.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.52 : 3,414.90 = 2,254.04 : x
  2. Step 2: Convert to fraction form
    2,278.52/3,414.90 = 2,254.04/x
  3. Step 3: Cross multiply
    2,278.52x = 3,414.90 × 2,254.04
  4. Step 4: Simplify right side
    2,278.52x = 7,697,321.20
  5. Step 5: Solve for x
    x = 7,697,321.20/2,278.52
  6. Step 6: Final answer
    x = 3,378.21

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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.