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Finding the Fourth Proportional to 3,082.11, 4,253.49 and 1,823.90

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Solution

The fourth proportional to 3,082.11, 4,253.49 and 1,823.90 is: 2,517.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.11 : 4,253.49 = 1,823.90 : x
  2. Step 2: Convert to fraction form
    3,082.11/4,253.49 = 1,823.90/x
  3. Step 3: Cross multiply
    3,082.11x = 4,253.49 × 1,823.90
  4. Step 4: Simplify right side
    3,082.11x = 7,757,955.88
  5. Step 5: Solve for x
    x = 7,757,955.88/3,082.11
  6. Step 6: Final answer
    x = 2,517.09

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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.