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Finding the Fourth Proportional to 2,775.06, 4,163.81 and 827.42

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Solution

The fourth proportional to 2,775.06, 4,163.81 and 827.42 is: 1,241.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.06 : 4,163.81 = 827.42 : x
  2. Step 2: Convert to fraction form
    2,775.06/4,163.81 = 827.42/x
  3. Step 3: Cross multiply
    2,775.06x = 4,163.81 × 827.42
  4. Step 4: Simplify right side
    2,775.06x = 3,445,194.71
  5. Step 5: Solve for x
    x = 3,445,194.71/2,775.06
  6. Step 6: Final answer
    x = 1,241.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.