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Finding the Fourth Proportional to 2,707.76, 4,061.80 and 759.96

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Solution

The fourth proportional to 2,707.76, 4,061.80 and 759.96 is: 1,139.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.76 : 4,061.80 = 759.96 : x
  2. Step 2: Convert to fraction form
    2,707.76/4,061.80 = 759.96/x
  3. Step 3: Cross multiply
    2,707.76x = 4,061.80 × 759.96
  4. Step 4: Simplify right side
    2,707.76x = 3,086,821.71
  5. Step 5: Solve for x
    x = 3,086,821.71/2,707.76
  6. Step 6: Final answer
    x = 1,139.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.