Home / 2,283.73-3,425.90-822.70

Finding the Fourth Proportional to 2,283.73, 3,425.90 and 822.70

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Solution

The fourth proportional to 2,283.73, 3,425.90 and 822.70 is: 1,234.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.73 : 3,425.90 = 822.70 : x
  2. Step 2: Convert to fraction form
    2,283.73/3,425.90 = 822.70/x
  3. Step 3: Cross multiply
    2,283.73x = 3,425.90 × 822.70
  4. Step 4: Simplify right side
    2,283.73x = 2,818,487.93
  5. Step 5: Solve for x
    x = 2,818,487.93/2,283.73
  6. Step 6: Final answer
    x = 1,234.16

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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.