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Finding the Fourth Proportional to 2,974.87, 4,462.61 and 1,026.62

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Solution

The fourth proportional to 2,974.87, 4,462.61 and 1,026.62 is: 1,540.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.87 : 4,462.61 = 1,026.62 : x
  2. Step 2: Convert to fraction form
    2,974.87/4,462.61 = 1,026.62/x
  3. Step 3: Cross multiply
    2,974.87x = 4,462.61 × 1,026.62
  4. Step 4: Simplify right side
    2,974.87x = 4,581,404.68
  5. Step 5: Solve for x
    x = 4,581,404.68/2,974.87
  6. Step 6: Final answer
    x = 1,540.04

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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.