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Finding the Fourth Proportional to 2,662.97, 3,994.67 and 814.23

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Solution

The fourth proportional to 2,662.97, 3,994.67 and 814.23 is: 1,221.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.97 : 3,994.67 = 814.23 : x
  2. Step 2: Convert to fraction form
    2,662.97/3,994.67 = 814.23/x
  3. Step 3: Cross multiply
    2,662.97x = 3,994.67 × 814.23
  4. Step 4: Simplify right side
    2,662.97x = 3,252,576.08
  5. Step 5: Solve for x
    x = 3,252,576.08/2,662.97
  6. Step 6: Final answer
    x = 1,221.41

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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.