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Finding the Fourth Proportional to 2,082.27, 3,123.39 and 849.67

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Solution

The fourth proportional to 2,082.27, 3,123.39 and 849.67 is: 1,274.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.27 : 3,123.39 = 849.67 : x
  2. Step 2: Convert to fraction form
    2,082.27/3,123.39 = 849.67/x
  3. Step 3: Cross multiply
    2,082.27x = 3,123.39 × 849.67
  4. Step 4: Simplify right side
    2,082.27x = 2,653,850.78
  5. Step 5: Solve for x
    x = 2,653,850.78/2,082.27
  6. Step 6: Final answer
    x = 1,274.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.