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Finding the Fourth Proportional to 2,244.75, 3,344.82 and 1,999.40

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Solution

The fourth proportional to 2,244.75, 3,344.82 and 1,999.40 is: 2,979.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244.75 : 3,344.82 = 1,999.40 : x
  2. Step 2: Convert to fraction form
    2,244.75/3,344.82 = 1,999.40/x
  3. Step 3: Cross multiply
    2,244.75x = 3,344.82 × 1,999.40
  4. Step 4: Simplify right side
    2,244.75x = 6,687,616.38
  5. Step 5: Solve for x
    x = 6,687,616.38/2,244.75
  6. Step 6: Final answer
    x = 2,979.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.