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Finding the Fourth Proportional to 2,549.92, 3,825.36 and 1,234.48

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Solution

The fourth proportional to 2,549.92, 3,825.36 and 1,234.48 is: 1,851.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.92 : 3,825.36 = 1,234.48 : x
  2. Step 2: Convert to fraction form
    2,549.92/3,825.36 = 1,234.48/x
  3. Step 3: Cross multiply
    2,549.92x = 3,825.36 × 1,234.48
  4. Step 4: Simplify right side
    2,549.92x = 4,722,330.41
  5. Step 5: Solve for x
    x = 4,722,330.41/2,549.92
  6. Step 6: Final answer
    x = 1,851.95

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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.