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Finding the Fourth Proportional to 2,654, 3,982.14 and 1,421.12

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Solution

The fourth proportional to 2,654, 3,982.14 and 1,421.12 is: 2,132.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654 : 3,982.14 = 1,421.12 : x
  2. Step 2: Convert to fraction form
    2,654/3,982.14 = 1,421.12/x
  3. Step 3: Cross multiply
    2,654x = 3,982.14 × 1,421.12
  4. Step 4: Simplify right side
    2,654x = 5,659,098.80
  5. Step 5: Solve for x
    x = 5,659,098.80/2,654
  6. Step 6: Final answer
    x = 2,132.29

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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.