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Finding the Fourth Proportional to 2,233.57, 3,082.49 and 1,239.03

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Solution

The fourth proportional to 2,233.57, 3,082.49 and 1,239.03 is: 1,709.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.57 : 3,082.49 = 1,239.03 : x
  2. Step 2: Convert to fraction form
    2,233.57/3,082.49 = 1,239.03/x
  3. Step 3: Cross multiply
    2,233.57x = 3,082.49 × 1,239.03
  4. Step 4: Simplify right side
    2,233.57x = 3,819,299.10
  5. Step 5: Solve for x
    x = 3,819,299.10/2,233.57
  6. Step 6: Final answer
    x = 1,709.96

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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.