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Finding the Fourth Proportional to 2,961.67, 4,087.11 and 1,617.28

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Solution

The fourth proportional to 2,961.67, 4,087.11 and 1,617.28 is: 2,231.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.67 : 4,087.11 = 1,617.28 : x
  2. Step 2: Convert to fraction form
    2,961.67/4,087.11 = 1,617.28/x
  3. Step 3: Cross multiply
    2,961.67x = 4,087.11 × 1,617.28
  4. Step 4: Simplify right side
    2,961.67x = 6,609,982.96
  5. Step 5: Solve for x
    x = 6,609,982.96/2,961.67
  6. Step 6: Final answer
    x = 2,231.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.