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Finding the Fourth Proportional to 2,233.56, 3,082.26 and 1,302

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Solution

The fourth proportional to 2,233.56, 3,082.26 and 1,302 is: 1,796.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.56 : 3,082.26 = 1,302 : x
  2. Step 2: Convert to fraction form
    2,233.56/3,082.26 = 1,302/x
  3. Step 3: Cross multiply
    2,233.56x = 3,082.26 × 1,302
  4. Step 4: Simplify right side
    2,233.56x = 4,013,102.52
  5. Step 5: Solve for x
    x = 4,013,102.52/2,233.56
  6. Step 6: Final answer
    x = 1,796.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.