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Finding the Fourth Proportional to 2,982.76, 4,474.14 and 791.81

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Solution

The fourth proportional to 2,982.76, 4,474.14 and 791.81 is: 1,187.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.76 : 4,474.14 = 791.81 : x
  2. Step 2: Convert to fraction form
    2,982.76/4,474.14 = 791.81/x
  3. Step 3: Cross multiply
    2,982.76x = 4,474.14 × 791.81
  4. Step 4: Simplify right side
    2,982.76x = 3,542,660.23
  5. Step 5: Solve for x
    x = 3,542,660.23/2,982.76
  6. Step 6: Final answer
    x = 1,187.71

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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.