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Finding the Fourth Proportional to 2,287.33, 3,431.03 and 727.57

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Solution

The fourth proportional to 2,287.33, 3,431.03 and 727.57 is: 1,091.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.33 : 3,431.03 = 727.57 : x
  2. Step 2: Convert to fraction form
    2,287.33/3,431.03 = 727.57/x
  3. Step 3: Cross multiply
    2,287.33x = 3,431.03 × 727.57
  4. Step 4: Simplify right side
    2,287.33x = 2,496,315.15
  5. Step 5: Solve for x
    x = 2,496,315.15/2,287.33
  6. Step 6: Final answer
    x = 1,091.37

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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.