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Finding the Fourth Proportional to 2,912.70, 4,369.65 and 966.27

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Solution

The fourth proportional to 2,912.70, 4,369.65 and 966.27 is: 1,449.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.70 : 4,369.65 = 966.27 : x
  2. Step 2: Convert to fraction form
    2,912.70/4,369.65 = 966.27/x
  3. Step 3: Cross multiply
    2,912.70x = 4,369.65 × 966.27
  4. Step 4: Simplify right side
    2,912.70x = 4,222,261.71
  5. Step 5: Solve for x
    x = 4,222,261.71/2,912.70
  6. Step 6: Final answer
    x = 1,449.60

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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.