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Finding the Fourth Proportional to 2,233.72, 3,082.54 and 1,238.99

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Solution

The fourth proportional to 2,233.72, 3,082.54 and 1,238.99 is: 1,709.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.72 : 3,082.54 = 1,238.99 : x
  2. Step 2: Convert to fraction form
    2,233.72/3,082.54 = 1,238.99/x
  3. Step 3: Cross multiply
    2,233.72x = 3,082.54 × 1,238.99
  4. Step 4: Simplify right side
    2,233.72x = 3,819,236.23
  5. Step 5: Solve for x
    x = 3,819,236.23/2,233.72
  6. Step 6: Final answer
    x = 1,709.81

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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.