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Finding the Fourth Proportional to 2,449.38, 3,669.26 and 1,350.42

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Solution

The fourth proportional to 2,449.38, 3,669.26 and 1,350.42 is: 2,022.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.38 : 3,669.26 = 1,350.42 : x
  2. Step 2: Convert to fraction form
    2,449.38/3,669.26 = 1,350.42/x
  3. Step 3: Cross multiply
    2,449.38x = 3,669.26 × 1,350.42
  4. Step 4: Simplify right side
    2,449.38x = 4,955,042.09
  5. Step 5: Solve for x
    x = 4,955,042.09/2,449.38
  6. Step 6: Final answer
    x = 2,022.98

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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.