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Finding the Fourth Proportional to 2,717.33, 4,076.31 and 961.97

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Solution

The fourth proportional to 2,717.33, 4,076.31 and 961.97 is: 1,443.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.33 : 4,076.31 = 961.97 : x
  2. Step 2: Convert to fraction form
    2,717.33/4,076.31 = 961.97/x
  3. Step 3: Cross multiply
    2,717.33x = 4,076.31 × 961.97
  4. Step 4: Simplify right side
    2,717.33x = 3,921,271.16
  5. Step 5: Solve for x
    x = 3,921,271.16/2,717.33
  6. Step 6: Final answer
    x = 1,443.06

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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.