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Finding the Fourth Proportional to 2,233.69, 3,082.43 and 1,238.94

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Solution

The fourth proportional to 2,233.69, 3,082.43 and 1,238.94 is: 1,709.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.69 : 3,082.43 = 1,238.94 : x
  2. Step 2: Convert to fraction form
    2,233.69/3,082.43 = 1,238.94/x
  3. Step 3: Cross multiply
    2,233.69x = 3,082.43 × 1,238.94
  4. Step 4: Simplify right side
    2,233.69x = 3,818,948.92
  5. Step 5: Solve for x
    x = 3,818,948.92/2,233.69
  6. Step 6: Final answer
    x = 1,709.71

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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.