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Finding the Fourth Proportional to 2,775.33, 4,162.86 and 827.28

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Solution

The fourth proportional to 2,775.33, 4,162.86 and 827.28 is: 1,240.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.33 : 4,162.86 = 827.28 : x
  2. Step 2: Convert to fraction form
    2,775.33/4,162.86 = 827.28/x
  3. Step 3: Cross multiply
    2,775.33x = 4,162.86 × 827.28
  4. Step 4: Simplify right side
    2,775.33x = 3,443,850.82
  5. Step 5: Solve for x
    x = 3,443,850.82/2,775.33
  6. Step 6: Final answer
    x = 1,240.88

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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.