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Finding the Fourth Proportional to 2,707.31, 4,061.16 and 759.66

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Solution

The fourth proportional to 2,707.31, 4,061.16 and 759.66 is: 1,139.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.31 : 4,061.16 = 759.66 : x
  2. Step 2: Convert to fraction form
    2,707.31/4,061.16 = 759.66/x
  3. Step 3: Cross multiply
    2,707.31x = 4,061.16 × 759.66
  4. Step 4: Simplify right side
    2,707.31x = 3,085,100.81
  5. Step 5: Solve for x
    x = 3,085,100.81/2,707.31
  6. Step 6: Final answer
    x = 1,139.55

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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.