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Finding the Fourth Proportional to 2,281.46, 3,422.17 and 721.47

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Solution

The fourth proportional to 2,281.46, 3,422.17 and 721.47 is: 1,082.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.46 : 3,422.17 = 721.47 : x
  2. Step 2: Convert to fraction form
    2,281.46/3,422.17 = 721.47/x
  3. Step 3: Cross multiply
    2,281.46x = 3,422.17 × 721.47
  4. Step 4: Simplify right side
    2,281.46x = 2,468,977.85
  5. Step 5: Solve for x
    x = 2,468,977.85/2,281.46
  6. Step 6: Final answer
    x = 1,082.19

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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.