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Finding the Fourth Proportional to 2,481.86, 3,724.08 and 1,096.14

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Solution

The fourth proportional to 2,481.86, 3,724.08 and 1,096.14 is: 1,644.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481.86 : 3,724.08 = 1,096.14 : x
  2. Step 2: Convert to fraction form
    2,481.86/3,724.08 = 1,096.14/x
  3. Step 3: Cross multiply
    2,481.86x = 3,724.08 × 1,096.14
  4. Step 4: Simplify right side
    2,481.86x = 4,082,113.05
  5. Step 5: Solve for x
    x = 4,082,113.05/2,481.86
  6. Step 6: Final answer
    x = 1,644.78

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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.