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Finding the Fourth Proportional to 2,706.76, 4,060.29 and 759.11

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Solution

The fourth proportional to 2,706.76, 4,060.29 and 759.11 is: 1,138.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.76 : 4,060.29 = 759.11 : x
  2. Step 2: Convert to fraction form
    2,706.76/4,060.29 = 759.11/x
  3. Step 3: Cross multiply
    2,706.76x = 4,060.29 × 759.11
  4. Step 4: Simplify right side
    2,706.76x = 3,082,214.99
  5. Step 5: Solve for x
    x = 3,082,214.99/2,706.76
  6. Step 6: Final answer
    x = 1,138.71

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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.