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Finding the Fourth Proportional to 3,204.46, 4,806.72 and 1,013.20

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Solution

The fourth proportional to 3,204.46, 4,806.72 and 1,013.20 is: 1,519.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.46 : 4,806.72 = 1,013.20 : x
  2. Step 2: Convert to fraction form
    3,204.46/4,806.72 = 1,013.20/x
  3. Step 3: Cross multiply
    3,204.46x = 4,806.72 × 1,013.20
  4. Step 4: Simplify right side
    3,204.46x = 4,870,168.70
  5. Step 5: Solve for x
    x = 4,870,168.70/3,204.46
  6. Step 6: Final answer
    x = 1,519.81

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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.