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Finding the Fourth Proportional to 2,233.91, 3,082.81 and 1,239.25

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Solution

The fourth proportional to 2,233.91, 3,082.81 and 1,239.25 is: 1,710.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.91 : 3,082.81 = 1,239.25 : x
  2. Step 2: Convert to fraction form
    2,233.91/3,082.81 = 1,239.25/x
  3. Step 3: Cross multiply
    2,233.91x = 3,082.81 × 1,239.25
  4. Step 4: Simplify right side
    2,233.91x = 3,820,361.49
  5. Step 5: Solve for x
    x = 3,820,361.49/2,233.91
  6. Step 6: Final answer
    x = 1,710.17

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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.