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Finding the Fourth Proportional to 2,912.30, 4,369.10 and 964.37

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Solution

The fourth proportional to 2,912.30, 4,369.10 and 964.37 is: 1,446.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.30 : 4,369.10 = 964.37 : x
  2. Step 2: Convert to fraction form
    2,912.30/4,369.10 = 964.37/x
  3. Step 3: Cross multiply
    2,912.30x = 4,369.10 × 964.37
  4. Step 4: Simplify right side
    2,912.30x = 4,213,428.97
  5. Step 5: Solve for x
    x = 4,213,428.97/2,912.30
  6. Step 6: Final answer
    x = 1,446.77

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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.