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Finding the Fourth Proportional to 3,082.78, 4,624.08 and 1,992.88

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Solution

The fourth proportional to 3,082.78, 4,624.08 and 1,992.88 is: 2,989.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.78 : 4,624.08 = 1,992.88 : x
  2. Step 2: Convert to fraction form
    3,082.78/4,624.08 = 1,992.88/x
  3. Step 3: Cross multiply
    3,082.78x = 4,624.08 × 1,992.88
  4. Step 4: Simplify right side
    3,082.78x = 9,215,236.55
  5. Step 5: Solve for x
    x = 9,215,236.55/3,082.78
  6. Step 6: Final answer
    x = 2,989.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.