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Finding the Fourth Proportional to 2,958.68, 4,082.99 and 1,632.39

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Solution

The fourth proportional to 2,958.68, 4,082.99 and 1,632.39 is: 2,252.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,958.68 : 4,082.99 = 1,632.39 : x
  2. Step 2: Convert to fraction form
    2,958.68/4,082.99 = 1,632.39/x
  3. Step 3: Cross multiply
    2,958.68x = 4,082.99 × 1,632.39
  4. Step 4: Simplify right side
    2,958.68x = 6,665,023.88
  5. Step 5: Solve for x
    x = 6,665,023.88/2,958.68
  6. Step 6: Final answer
    x = 2,252.71

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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.