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Finding the Fourth Proportional to 1,983.42, 2,976.03 and 814.29

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Solution

The fourth proportional to 1,983.42, 2,976.03 and 814.29 is: 1,221.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.42 : 2,976.03 = 814.29 : x
  2. Step 2: Convert to fraction form
    1,983.42/2,976.03 = 814.29/x
  3. Step 3: Cross multiply
    1,983.42x = 2,976.03 × 814.29
  4. Step 4: Simplify right side
    1,983.42x = 2,423,351.47
  5. Step 5: Solve for x
    x = 2,423,351.47/1,983.42
  6. Step 6: Final answer
    x = 1,221.80

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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.