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Finding the Fourth Proportional to 2,793.50, 3,852.36 and 2,163.06

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Solution

The fourth proportional to 2,793.50, 3,852.36 and 2,163.06 is: 2,982.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.50 : 3,852.36 = 2,163.06 : x
  2. Step 2: Convert to fraction form
    2,793.50/3,852.36 = 2,163.06/x
  3. Step 3: Cross multiply
    2,793.50x = 3,852.36 × 2,163.06
  4. Step 4: Simplify right side
    2,793.50x = 8,332,885.82
  5. Step 5: Solve for x
    x = 8,332,885.82/2,793.50
  6. Step 6: Final answer
    x = 2,982.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.