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Finding the Fourth Proportional to 1,454.20, 2,177.44 and 992.92

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Solution

The fourth proportional to 1,454.20, 2,177.44 and 992.92 is: 1,486.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.20 : 2,177.44 = 992.92 : x
  2. Step 2: Convert to fraction form
    1,454.20/2,177.44 = 992.92/x
  3. Step 3: Cross multiply
    1,454.20x = 2,177.44 × 992.92
  4. Step 4: Simplify right side
    1,454.20x = 2,162,023.72
  5. Step 5: Solve for x
    x = 2,162,023.72/1,454.20
  6. Step 6: Final answer
    x = 1,486.74

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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.