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Finding the Fourth Proportional to 2,281.29, 3,422.36 and 800.43

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Solution

The fourth proportional to 2,281.29, 3,422.36 and 800.43 is: 1,200.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.29 : 3,422.36 = 800.43 : x
  2. Step 2: Convert to fraction form
    2,281.29/3,422.36 = 800.43/x
  3. Step 3: Cross multiply
    2,281.29x = 3,422.36 × 800.43
  4. Step 4: Simplify right side
    2,281.29x = 2,739,359.61
  5. Step 5: Solve for x
    x = 2,739,359.61/2,281.29
  6. Step 6: Final answer
    x = 1,200.79

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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.