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Finding the Fourth Proportional to 1,982.13, 2,973.21 and 827.88

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Solution

The fourth proportional to 1,982.13, 2,973.21 and 827.88 is: 1,241.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.13 : 2,973.21 = 827.88 : x
  2. Step 2: Convert to fraction form
    1,982.13/2,973.21 = 827.88/x
  3. Step 3: Cross multiply
    1,982.13x = 2,973.21 × 827.88
  4. Step 4: Simplify right side
    1,982.13x = 2,461,461.09
  5. Step 5: Solve for x
    x = 2,461,461.09/1,982.13
  6. Step 6: Final answer
    x = 1,241.83

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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.