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Finding the Fourth Proportional to 2,443.27, 3,662.33 and 799.38

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Solution

The fourth proportional to 2,443.27, 3,662.33 and 799.38 is: 1,198.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.27 : 3,662.33 = 799.38 : x
  2. Step 2: Convert to fraction form
    2,443.27/3,662.33 = 799.38/x
  3. Step 3: Cross multiply
    2,443.27x = 3,662.33 × 799.38
  4. Step 4: Simplify right side
    2,443.27x = 2,927,593.36
  5. Step 5: Solve for x
    x = 2,927,593.36/2,443.27
  6. Step 6: Final answer
    x = 1,198.23

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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.