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Finding the Fourth Proportional to 2,707.11, 4,061.31 and 759.27

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Solution

The fourth proportional to 2,707.11, 4,061.31 and 759.27 is: 1,139.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.11 : 4,061.31 = 759.27 : x
  2. Step 2: Convert to fraction form
    2,707.11/4,061.31 = 759.27/x
  3. Step 3: Cross multiply
    2,707.11x = 4,061.31 × 759.27
  4. Step 4: Simplify right side
    2,707.11x = 3,083,630.84
  5. Step 5: Solve for x
    x = 3,083,630.84/2,707.11
  6. Step 6: Final answer
    x = 1,139.09

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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.