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Finding the Fourth Proportional to 3,082.67, 4,257.15 and 2,203.08

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Solution

The fourth proportional to 3,082.67, 4,257.15 and 2,203.08 is: 3,042.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.67 : 4,257.15 = 2,203.08 : x
  2. Step 2: Convert to fraction form
    3,082.67/4,257.15 = 2,203.08/x
  3. Step 3: Cross multiply
    3,082.67x = 4,257.15 × 2,203.08
  4. Step 4: Simplify right side
    3,082.67x = 9,378,842.02
  5. Step 5: Solve for x
    x = 9,378,842.02/3,082.67
  6. Step 6: Final answer
    x = 3,042.45

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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.