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Finding the Fourth Proportional to 2,775.67, 4,163.91 and 827.62

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Solution

The fourth proportional to 2,775.67, 4,163.91 and 827.62 is: 1,241.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.67 : 4,163.91 = 827.62 : x
  2. Step 2: Convert to fraction form
    2,775.67/4,163.91 = 827.62/x
  3. Step 3: Cross multiply
    2,775.67x = 4,163.91 × 827.62
  4. Step 4: Simplify right side
    2,775.67x = 3,446,121.68
  5. Step 5: Solve for x
    x = 3,446,121.68/2,775.67
  6. Step 6: Final answer
    x = 1,241.55

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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.