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Finding the Fourth Proportional to 2,775.07, 4,162.33 and 827.29

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Solution

The fourth proportional to 2,775.07, 4,162.33 and 827.29 is: 1,240.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.07 : 4,162.33 = 827.29 : x
  2. Step 2: Convert to fraction form
    2,775.07/4,162.33 = 827.29/x
  3. Step 3: Cross multiply
    2,775.07x = 4,162.33 × 827.29
  4. Step 4: Simplify right side
    2,775.07x = 3,443,453.99
  5. Step 5: Solve for x
    x = 3,443,453.99/2,775.07
  6. Step 6: Final answer
    x = 1,240.85

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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.