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Finding the Fourth Proportional to 2,811.96, 4,221.54 and 2,163.12

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Solution

The fourth proportional to 2,811.96, 4,221.54 and 2,163.12 is: 3,247.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.96 : 4,221.54 = 2,163.12 : x
  2. Step 2: Convert to fraction form
    2,811.96/4,221.54 = 2,163.12/x
  3. Step 3: Cross multiply
    2,811.96x = 4,221.54 × 2,163.12
  4. Step 4: Simplify right side
    2,811.96x = 9,131,697.60
  5. Step 5: Solve for x
    x = 9,131,697.60/2,811.96
  6. Step 6: Final answer
    x = 3,247.45

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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.