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Finding the Fourth Proportional to 2,454.25, 3,682.19 and 992.61

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Solution

The fourth proportional to 2,454.25, 3,682.19 and 992.61 is: 1,489.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.25 : 3,682.19 = 992.61 : x
  2. Step 2: Convert to fraction form
    2,454.25/3,682.19 = 992.61/x
  3. Step 3: Cross multiply
    2,454.25x = 3,682.19 × 992.61
  4. Step 4: Simplify right side
    2,454.25x = 3,654,978.62
  5. Step 5: Solve for x
    x = 3,654,978.62/2,454.25
  6. Step 6: Final answer
    x = 1,489.24

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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.