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Finding the Fourth Proportional to 2,233.92, 3,082.76 and 1,239.17

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Solution

The fourth proportional to 2,233.92, 3,082.76 and 1,239.17 is: 1,710.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.92 : 3,082.76 = 1,239.17 : x
  2. Step 2: Convert to fraction form
    2,233.92/3,082.76 = 1,239.17/x
  3. Step 3: Cross multiply
    2,233.92x = 3,082.76 × 1,239.17
  4. Step 4: Simplify right side
    2,233.92x = 3,820,057.51
  5. Step 5: Solve for x
    x = 3,820,057.51/2,233.92
  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.