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Finding the Fourth Proportional to 2,454.38, 3,682.02 and 994.56

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Solution

The fourth proportional to 2,454.38, 3,682.02 and 994.56 is: 1,492.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.38 : 3,682.02 = 994.56 : x
  2. Step 2: Convert to fraction form
    2,454.38/3,682.02 = 994.56/x
  3. Step 3: Cross multiply
    2,454.38x = 3,682.02 × 994.56
  4. Step 4: Simplify right side
    2,454.38x = 3,661,979.73
  5. Step 5: Solve for x
    x = 3,661,979.73/2,454.38
  6. Step 6: Final answer
    x = 1,492.02

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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.