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Finding the Fourth Proportional to 2,281.88, 3,422.22 and 820.76

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Solution

The fourth proportional to 2,281.88, 3,422.22 and 820.76 is: 1,230.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.88 : 3,422.22 = 820.76 : x
  2. Step 2: Convert to fraction form
    2,281.88/3,422.22 = 820.76/x
  3. Step 3: Cross multiply
    2,281.88x = 3,422.22 × 820.76
  4. Step 4: Simplify right side
    2,281.88x = 2,808,821.29
  5. Step 5: Solve for x
    x = 2,808,821.29/2,281.88
  6. Step 6: Final answer
    x = 1,230.92

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1.5x scale

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.