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Finding the Fourth Proportional to 2,072.62, 3,091.97 and 2,016.12

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Solution

The fourth proportional to 2,072.62, 3,091.97 and 2,016.12 is: 3,007.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.62 : 3,091.97 = 2,016.12 : x
  2. Step 2: Convert to fraction form
    2,072.62/3,091.97 = 2,016.12/x
  3. Step 3: Cross multiply
    2,072.62x = 3,091.97 × 2,016.12
  4. Step 4: Simplify right side
    2,072.62x = 6,233,799.19
  5. Step 5: Solve for x
    x = 6,233,799.19/2,072.62
  6. Step 6: Final answer
    x = 3,007.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.