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Finding the Fourth Proportional to 2,707.80, 4,061.69 and 759.95

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Solution

The fourth proportional to 2,707.80, 4,061.69 and 759.95 is: 1,139.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.80 : 4,061.69 = 759.95 : x
  2. Step 2: Convert to fraction form
    2,707.80/4,061.69 = 759.95/x
  3. Step 3: Cross multiply
    2,707.80x = 4,061.69 × 759.95
  4. Step 4: Simplify right side
    2,707.80x = 3,086,657.21
  5. Step 5: Solve for x
    x = 3,086,657.21/2,707.80
  6. Step 6: Final answer
    x = 1,139.91

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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.