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Finding the Fourth Proportional to 2,082.54, 3,123.28 and 833.09

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Solution

The fourth proportional to 2,082.54, 3,123.28 and 833.09 is: 1,249.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.54 : 3,123.28 = 833.09 : x
  2. Step 2: Convert to fraction form
    2,082.54/3,123.28 = 833.09/x
  3. Step 3: Cross multiply
    2,082.54x = 3,123.28 × 833.09
  4. Step 4: Simplify right side
    2,082.54x = 2,601,954.07
  5. Step 5: Solve for x
    x = 2,601,954.07/2,082.54
  6. Step 6: Final answer
    x = 1,249.41

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1.5x scale

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.