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Finding the Fourth Proportional to 2,816.20, 4,220.70 and 2,163.70

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Solution

The fourth proportional to 2,816.20, 4,220.70 and 2,163.70 is: 3,242.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.20 : 4,220.70 = 2,163.70 : x
  2. Step 2: Convert to fraction form
    2,816.20/4,220.70 = 2,163.70/x
  3. Step 3: Cross multiply
    2,816.20x = 4,220.70 × 2,163.70
  4. Step 4: Simplify right side
    2,816.20x = 9,132,328.59
  5. Step 5: Solve for x
    x = 9,132,328.59/2,816.20
  6. Step 6: Final answer
    x = 3,242.78

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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.