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Finding the Fourth Proportional to 2,843.29, 3,922.35 and 2,449.63

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Solution

The fourth proportional to 2,843.29, 3,922.35 and 2,449.63 is: 3,379.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.29 : 3,922.35 = 2,449.63 : x
  2. Step 2: Convert to fraction form
    2,843.29/3,922.35 = 2,449.63/x
  3. Step 3: Cross multiply
    2,843.29x = 3,922.35 × 2,449.63
  4. Step 4: Simplify right side
    2,843.29x = 9,608,306.23
  5. Step 5: Solve for x
    x = 9,608,306.23/2,843.29
  6. Step 6: Final answer
    x = 3,379.29

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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.