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Finding the Fourth Proportional to 2,494.86, 3,442.76 and 1,446.90

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Solution

The fourth proportional to 2,494.86, 3,442.76 and 1,446.90 is: 1,996.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.86 : 3,442.76 = 1,446.90 : x
  2. Step 2: Convert to fraction form
    2,494.86/3,442.76 = 1,446.90/x
  3. Step 3: Cross multiply
    2,494.86x = 3,442.76 × 1,446.90
  4. Step 4: Simplify right side
    2,494.86x = 4,981,329.44
  5. Step 5: Solve for x
    x = 4,981,329.44/2,494.86
  6. Step 6: Final answer
    x = 1,996.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.