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Finding the Fourth Proportional to 2,282.97, 3,424.97 and 822.13

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Solution

The fourth proportional to 2,282.97, 3,424.97 and 822.13 is: 1,233.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.97 : 3,424.97 = 822.13 : x
  2. Step 2: Convert to fraction form
    2,282.97/3,424.97 = 822.13/x
  3. Step 3: Cross multiply
    2,282.97x = 3,424.97 × 822.13
  4. Step 4: Simplify right side
    2,282.97x = 2,815,770.59
  5. Step 5: Solve for x
    x = 2,815,770.59/2,282.97
  6. Step 6: Final answer
    x = 1,233.38

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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.