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Finding the Fourth Proportional to 2,481.18, 3,720.81 and 814.92

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Solution

The fourth proportional to 2,481.18, 3,720.81 and 814.92 is: 1,222.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481.18 : 3,720.81 = 814.92 : x
  2. Step 2: Convert to fraction form
    2,481.18/3,720.81 = 814.92/x
  3. Step 3: Cross multiply
    2,481.18x = 3,720.81 × 814.92
  4. Step 4: Simplify right side
    2,481.18x = 3,032,162.49
  5. Step 5: Solve for x
    x = 3,032,162.49/2,481.18
  6. Step 6: Final answer
    x = 1,222.06

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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.