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Finding the Fourth Proportional to 3,063.82, 4,227.92 and 1,737.65

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Solution

The fourth proportional to 3,063.82, 4,227.92 and 1,737.65 is: 2,397.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,063.82 : 4,227.92 = 1,737.65 : x
  2. Step 2: Convert to fraction form
    3,063.82/4,227.92 = 1,737.65/x
  3. Step 3: Cross multiply
    3,063.82x = 4,227.92 × 1,737.65
  4. Step 4: Simplify right side
    3,063.82x = 7,346,650.55
  5. Step 5: Solve for x
    x = 7,346,650.55/3,063.82
  6. Step 6: Final answer
    x = 2,397.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.