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Finding the Fourth Proportional to 2,111.67, 3,167.91 and 1,072.24

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Solution

The fourth proportional to 2,111.67, 3,167.91 and 1,072.24 is: 1,608.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.67 : 3,167.91 = 1,072.24 : x
  2. Step 2: Convert to fraction form
    2,111.67/3,167.91 = 1,072.24/x
  3. Step 3: Cross multiply
    2,111.67x = 3,167.91 × 1,072.24
  4. Step 4: Simplify right side
    2,111.67x = 3,396,751.90
  5. Step 5: Solve for x
    x = 3,396,751.90/2,111.67
  6. Step 6: Final answer
    x = 1,608.56

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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.