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Finding the Fourth Proportional to 2,163.57, 3,244.89 and 847.35

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Solution

The fourth proportional to 2,163.57, 3,244.89 and 847.35 is: 1,270.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.57 : 3,244.89 = 847.35 : x
  2. Step 2: Convert to fraction form
    2,163.57/3,244.89 = 847.35/x
  3. Step 3: Cross multiply
    2,163.57x = 3,244.89 × 847.35
  4. Step 4: Simplify right side
    2,163.57x = 2,749,557.54
  5. Step 5: Solve for x
    x = 2,749,557.54/2,163.57
  6. Step 6: Final answer
    x = 1,270.84

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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.