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Finding the Fourth Proportional to 2,233.82, 3,082.70 and 1,239.14

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Solution

The fourth proportional to 2,233.82, 3,082.70 and 1,239.14 is: 1,710.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.82 : 3,082.70 = 1,239.14 : x
  2. Step 2: Convert to fraction form
    2,233.82/3,082.70 = 1,239.14/x
  3. Step 3: Cross multiply
    2,233.82x = 3,082.70 × 1,239.14
  4. Step 4: Simplify right side
    2,233.82x = 3,819,884.56
  5. Step 5: Solve for x
    x = 3,819,884.56/2,233.82
  6. Step 6: Final answer
    x = 1,710.03

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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.