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Finding the Fourth Proportional to 3,270.75, 4,906.46 and 1,049.04

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Solution

The fourth proportional to 3,270.75, 4,906.46 and 1,049.04 is: 1,573.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.75 : 4,906.46 = 1,049.04 : x
  2. Step 2: Convert to fraction form
    3,270.75/4,906.46 = 1,049.04/x
  3. Step 3: Cross multiply
    3,270.75x = 4,906.46 × 1,049.04
  4. Step 4: Simplify right side
    3,270.75x = 5,147,072.80
  5. Step 5: Solve for x
    x = 5,147,072.80/3,270.75
  6. Step 6: Final answer
    x = 1,573.67

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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.