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Finding the Fourth Proportional to 2,288.43, 3,431.09 and 727.97

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Solution

The fourth proportional to 2,288.43, 3,431.09 and 727.97 is: 1,091.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.43 : 3,431.09 = 727.97 : x
  2. Step 2: Convert to fraction form
    2,288.43/3,431.09 = 727.97/x
  3. Step 3: Cross multiply
    2,288.43x = 3,431.09 × 727.97
  4. Step 4: Simplify right side
    2,288.43x = 2,497,715.25
  5. Step 5: Solve for x
    x = 2,497,715.25/2,288.43
  6. Step 6: Final answer
    x = 1,091.45

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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.