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Finding the Fourth Proportional to 3,274.95, 4,912.79 and 1,082.88

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Solution

The fourth proportional to 3,274.95, 4,912.79 and 1,082.88 is: 1,624.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.95 : 4,912.79 = 1,082.88 : x
  2. Step 2: Convert to fraction form
    3,274.95/4,912.79 = 1,082.88/x
  3. Step 3: Cross multiply
    3,274.95x = 4,912.79 × 1,082.88
  4. Step 4: Simplify right side
    3,274.95x = 5,319,956.62
  5. Step 5: Solve for x
    x = 5,319,956.62/3,274.95
  6. Step 6: Final answer
    x = 1,624.44

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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.