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Finding the Fourth Proportional to 2,958.73, 4,082.68 and 1,632.43

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Solution

The fourth proportional to 2,958.73, 4,082.68 and 1,632.43 is: 2,252.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,958.73 : 4,082.68 = 1,632.43 : x
  2. Step 2: Convert to fraction form
    2,958.73/4,082.68 = 1,632.43/x
  3. Step 3: Cross multiply
    2,958.73x = 4,082.68 × 1,632.43
  4. Step 4: Simplify right side
    2,958.73x = 6,664,710.09
  5. Step 5: Solve for x
    x = 6,664,710.09/2,958.73
  6. Step 6: Final answer
    x = 2,252.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.