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Finding the Fourth Proportional to 2,443.65, 3,662.89 and 799.75

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Solution

The fourth proportional to 2,443.65, 3,662.89 and 799.75 is: 1,198.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.65 : 3,662.89 = 799.75 : x
  2. Step 2: Convert to fraction form
    2,443.65/3,662.89 = 799.75/x
  3. Step 3: Cross multiply
    2,443.65x = 3,662.89 × 799.75
  4. Step 4: Simplify right side
    2,443.65x = 2,929,396.28
  5. Step 5: Solve for x
    x = 2,929,396.28/2,443.65
  6. Step 6: Final answer
    x = 1,198.78

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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.