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Finding the Fourth Proportional to 2,446.71, 3,374.97 and 1,451.77

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Solution

The fourth proportional to 2,446.71, 3,374.97 and 1,451.77 is: 2,002.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.71 : 3,374.97 = 1,451.77 : x
  2. Step 2: Convert to fraction form
    2,446.71/3,374.97 = 1,451.77/x
  3. Step 3: Cross multiply
    2,446.71x = 3,374.97 × 1,451.77
  4. Step 4: Simplify right side
    2,446.71x = 4,899,685.30
  5. Step 5: Solve for x
    x = 4,899,685.30/2,446.71
  6. Step 6: Final answer
    x = 2,002.56

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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.