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Finding the Fourth Proportional to 2,960.46, 4,436.91 and 2,231.46

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Solution

The fourth proportional to 2,960.46, 4,436.91 and 2,231.46 is: 3,344.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.46 : 4,436.91 = 2,231.46 : x
  2. Step 2: Convert to fraction form
    2,960.46/4,436.91 = 2,231.46/x
  3. Step 3: Cross multiply
    2,960.46x = 4,436.91 × 2,231.46
  4. Step 4: Simplify right side
    2,960.46x = 9,900,787.19
  5. Step 5: Solve for x
    x = 9,900,787.19/2,960.46
  6. Step 6: Final answer
    x = 3,344.34

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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.