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Finding the Fourth Proportional to 2,707.25, 4,061.03 and 759.60

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Solution

The fourth proportional to 2,707.25, 4,061.03 and 759.60 is: 1,139.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.25 : 4,061.03 = 759.60 : x
  2. Step 2: Convert to fraction form
    2,707.25/4,061.03 = 759.60/x
  3. Step 3: Cross multiply
    2,707.25x = 4,061.03 × 759.60
  4. Step 4: Simplify right side
    2,707.25x = 3,084,754.59
  5. Step 5: Solve for x
    x = 3,084,754.59/2,707.25
  6. Step 6: Final answer
    x = 1,139.44

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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.