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Finding the Fourth Proportional to 3,274.67, 4,912.05 and 966.17

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Solution

The fourth proportional to 3,274.67, 4,912.05 and 966.17 is: 1,449.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.67 : 4,912.05 = 966.17 : x
  2. Step 2: Convert to fraction form
    3,274.67/4,912.05 = 966.17/x
  3. Step 3: Cross multiply
    3,274.67x = 4,912.05 × 966.17
  4. Step 4: Simplify right side
    3,274.67x = 4,745,875.35
  5. Step 5: Solve for x
    x = 4,745,875.35/3,274.67
  6. Step 6: Final answer
    x = 1,449.27

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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.