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Finding the Fourth Proportional to 2,459.26, 3,689.43 and 727.75

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Solution

The fourth proportional to 2,459.26, 3,689.43 and 727.75 is: 1,091.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.26 : 3,689.43 = 727.75 : x
  2. Step 2: Convert to fraction form
    2,459.26/3,689.43 = 727.75/x
  3. Step 3: Cross multiply
    2,459.26x = 3,689.43 × 727.75
  4. Step 4: Simplify right side
    2,459.26x = 2,684,982.68
  5. Step 5: Solve for x
    x = 2,684,982.68/2,459.26
  6. Step 6: Final answer
    x = 1,091.78

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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.