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Finding the Fourth Proportional to 2,449.71, 3,673.45 and 1,462.96

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Solution

The fourth proportional to 2,449.71, 3,673.45 and 1,462.96 is: 2,193.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.71 : 3,673.45 = 1,462.96 : x
  2. Step 2: Convert to fraction form
    2,449.71/3,673.45 = 1,462.96/x
  3. Step 3: Cross multiply
    2,449.71x = 3,673.45 × 1,462.96
  4. Step 4: Simplify right side
    2,449.71x = 5,374,116.83
  5. Step 5: Solve for x
    x = 5,374,116.83/2,449.71
  6. Step 6: Final answer
    x = 2,193.78

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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.