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Finding the Fourth Proportional to 2,082.38, 3,123.84 and 784.76

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Solution

The fourth proportional to 2,082.38, 3,123.84 and 784.76 is: 1,177.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.38 : 3,123.84 = 784.76 : x
  2. Step 2: Convert to fraction form
    2,082.38/3,123.84 = 784.76/x
  3. Step 3: Cross multiply
    2,082.38x = 3,123.84 × 784.76
  4. Step 4: Simplify right side
    2,082.38x = 2,451,464.68
  5. Step 5: Solve for x
    x = 2,451,464.68/2,082.38
  6. Step 6: Final answer
    x = 1,177.24

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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.