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Finding the Fourth Proportional to 2,707.80, 4,061.70 and 759.96

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Solution

The fourth proportional to 2,707.80, 4,061.70 and 759.96 is: 1,139.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.80 : 4,061.70 = 759.96 : x
  2. Step 2: Convert to fraction form
    2,707.80/4,061.70 = 759.96/x
  3. Step 3: Cross multiply
    2,707.80x = 4,061.70 × 759.96
  4. Step 4: Simplify right side
    2,707.80x = 3,086,729.53
  5. Step 5: Solve for x
    x = 3,086,729.53/2,707.80
  6. Step 6: Final answer
    x = 1,139.94

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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.