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Finding the Fourth Proportional to 3,211.46, 4,817.22 and 1,020.20

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Solution

The fourth proportional to 3,211.46, 4,817.22 and 1,020.20 is: 1,530.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.46 : 4,817.22 = 1,020.20 : x
  2. Step 2: Convert to fraction form
    3,211.46/4,817.22 = 1,020.20/x
  3. Step 3: Cross multiply
    3,211.46x = 4,817.22 × 1,020.20
  4. Step 4: Simplify right side
    3,211.46x = 4,914,527.84
  5. Step 5: Solve for x
    x = 4,914,527.84/3,211.46
  6. Step 6: Final answer
    x = 1,530.31

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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.