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Finding the Fourth Proportional to 2,982.62, 4,474.00 and 2,546.88

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Solution

The fourth proportional to 2,982.62, 4,474.00 and 2,546.88 is: 3,820.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.62 : 4,474.00 = 2,546.88 : x
  2. Step 2: Convert to fraction form
    2,982.62/4,474.00 = 2,546.88/x
  3. Step 3: Cross multiply
    2,982.62x = 4,474.00 × 2,546.88
  4. Step 4: Simplify right side
    2,982.62x = 11,394,727.53
  5. Step 5: Solve for x
    x = 11,394,727.53/2,982.62
  6. Step 6: Final answer
    x = 3,820.37

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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.