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Finding the Fourth Proportional to 3,082.61, 4,257.11 and 1,964.05

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Solution

The fourth proportional to 3,082.61, 4,257.11 and 1,964.05 is: 2,712.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.61 : 4,257.11 = 1,964.05 : x
  2. Step 2: Convert to fraction form
    3,082.61/4,257.11 = 1,964.05/x
  3. Step 3: Cross multiply
    3,082.61x = 4,257.11 × 1,964.05
  4. Step 4: Simplify right side
    3,082.61x = 8,361,167.08
  5. Step 5: Solve for x
    x = 8,361,167.08/3,082.61
  6. Step 6: Final answer
    x = 2,712.37

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1.5x scale

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.