Home / 2,283.30-3,424.92-822.36

Finding the Fourth Proportional to 2,283.30, 3,424.92 and 822.36

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Solution

The fourth proportional to 2,283.30, 3,424.92 and 822.36 is: 1,233.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.30 : 3,424.92 = 822.36 : x
  2. Step 2: Convert to fraction form
    2,283.30/3,424.92 = 822.36/x
  3. Step 3: Cross multiply
    2,283.30x = 3,424.92 × 822.36
  4. Step 4: Simplify right side
    2,283.30x = 2,816,517.21
  5. Step 5: Solve for x
    x = 2,816,517.21/2,283.30
  6. Step 6: Final answer
    x = 1,233.53

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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.