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Finding the Fourth Proportional to 2,233.47, 3,082.17 and 1,238.79

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Solution

The fourth proportional to 2,233.47, 3,082.17 and 1,238.79 is: 1,709.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.47 : 3,082.17 = 1,238.79 : x
  2. Step 2: Convert to fraction form
    2,233.47/3,082.17 = 1,238.79/x
  3. Step 3: Cross multiply
    2,233.47x = 3,082.17 × 1,238.79
  4. Step 4: Simplify right side
    2,233.47x = 3,818,161.37
  5. Step 5: Solve for x
    x = 3,818,161.37/2,233.47
  6. Step 6: Final answer
    x = 1,709.52

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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.