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Finding the Fourth Proportional to 3,274.56, 4,912.08 and 966

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Solution

The fourth proportional to 3,274.56, 4,912.08 and 966 is: 1,449.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.56 : 4,912.08 = 966 : x
  2. Step 2: Convert to fraction form
    3,274.56/4,912.08 = 966/x
  3. Step 3: Cross multiply
    3,274.56x = 4,912.08 × 966
  4. Step 4: Simplify right side
    3,274.56x = 4,745,069.28
  5. Step 5: Solve for x
    x = 4,745,069.28/3,274.56
  6. Step 6: Final answer
    x = 1,449.07

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Why These Related Problems?

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