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Finding the Fourth Proportional to 3,163.18, 4,744.41 and 854.86

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Solution

The fourth proportional to 3,163.18, 4,744.41 and 854.86 is: 1,282.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.18 : 4,744.41 = 854.86 : x
  2. Step 2: Convert to fraction form
    3,163.18/4,744.41 = 854.86/x
  3. Step 3: Cross multiply
    3,163.18x = 4,744.41 × 854.86
  4. Step 4: Simplify right side
    3,163.18x = 4,055,806.33
  5. Step 5: Solve for x
    x = 4,055,806.33/3,163.18
  6. Step 6: Final answer
    x = 1,282.19

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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.