Home / 2,282.80-3,424.56-822.31

Finding the Fourth Proportional to 2,282.80, 3,424.56 and 822.31

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Solution

The fourth proportional to 2,282.80, 3,424.56 and 822.31 is: 1,233.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.80 : 3,424.56 = 822.31 : x
  2. Step 2: Convert to fraction form
    2,282.80/3,424.56 = 822.31/x
  3. Step 3: Cross multiply
    2,282.80x = 3,424.56 × 822.31
  4. Step 4: Simplify right side
    2,282.80x = 2,816,049.93
  5. Step 5: Solve for x
    x = 2,816,049.93/2,282.80
  6. Step 6: Final answer
    x = 1,233.59

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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.