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Finding the Fourth Proportional to 3,211.92, 4,817.88 and 1,020.24

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Solution

The fourth proportional to 3,211.92, 4,817.88 and 1,020.24 is: 1,530.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.92 : 4,817.88 = 1,020.24 : x
  2. Step 2: Convert to fraction form
    3,211.92/4,817.88 = 1,020.24/x
  3. Step 3: Cross multiply
    3,211.92x = 4,817.88 × 1,020.24
  4. Step 4: Simplify right side
    3,211.92x = 4,915,393.89
  5. Step 5: Solve for x
    x = 4,915,393.89/3,211.92
  6. Step 6: Final answer
    x = 1,530.36

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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.