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Finding the Fourth Proportional to 1,982.17, 2,972.23 and 871.14

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Solution

The fourth proportional to 1,982.17, 2,972.23 and 871.14 is: 1,306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.17 : 2,972.23 = 871.14 : x
  2. Step 2: Convert to fraction form
    1,982.17/2,972.23 = 871.14/x
  3. Step 3: Cross multiply
    1,982.17x = 2,972.23 × 871.14
  4. Step 4: Simplify right side
    1,982.17x = 2,589,220.69
  5. Step 5: Solve for x
    x = 2,589,220.69/1,982.17
  6. Step 6: Final answer
    x = 1,306.25

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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.