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Finding the Fourth Proportional to 1,734.20, 2,601.99 and 759.62

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Solution

The fourth proportional to 1,734.20, 2,601.99 and 759.62 is: 1,139.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.20 : 2,601.99 = 759.62 : x
  2. Step 2: Convert to fraction form
    1,734.20/2,601.99 = 759.62/x
  3. Step 3: Cross multiply
    1,734.20x = 2,601.99 × 759.62
  4. Step 4: Simplify right side
    1,734.20x = 1,976,530.15
  5. Step 5: Solve for x
    x = 1,976,530.15/1,734.20
  6. Step 6: Final answer
    x = 1,139.73

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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.