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Finding the Fourth Proportional to 2,549.90, 3,825.12 and 2,229.14

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Solution

The fourth proportional to 2,549.90, 3,825.12 and 2,229.14 is: 3,343.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.90 : 3,825.12 = 2,229.14 : x
  2. Step 2: Convert to fraction form
    2,549.90/3,825.12 = 2,229.14/x
  3. Step 3: Cross multiply
    2,549.90x = 3,825.12 × 2,229.14
  4. Step 4: Simplify right side
    2,549.90x = 8,526,728.00
  5. Step 5: Solve for x
    x = 8,526,728.00/2,549.90
  6. Step 6: Final answer
    x = 3,343.95

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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.