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Finding the Fourth Proportional to 2,733.50, 4,096.20 and 2,271.80

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Solution

The fourth proportional to 2,733.50, 4,096.20 and 2,271.80 is: 3,404.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.50 : 4,096.20 = 2,271.80 : x
  2. Step 2: Convert to fraction form
    2,733.50/4,096.20 = 2,271.80/x
  3. Step 3: Cross multiply
    2,733.50x = 4,096.20 × 2,271.80
  4. Step 4: Simplify right side
    2,733.50x = 9,305,747.16
  5. Step 5: Solve for x
    x = 9,305,747.16/2,733.50
  6. Step 6: Final answer
    x = 3,404.33

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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.