Home / 2,283.20-3,425.15-822.70

Finding the Fourth Proportional to 2,283.20, 3,425.15 and 822.70

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Solution

The fourth proportional to 2,283.20, 3,425.15 and 822.70 is: 1,234.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.20 : 3,425.15 = 822.70 : x
  2. Step 2: Convert to fraction form
    2,283.20/3,425.15 = 822.70/x
  3. Step 3: Cross multiply
    2,283.20x = 3,425.15 × 822.70
  4. Step 4: Simplify right side
    2,283.20x = 2,817,864.40
  5. Step 5: Solve for x
    x = 2,817,864.40/2,283.20
  6. Step 6: Final answer
    x = 1,234.17

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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.