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Finding the Fourth Proportional to 2,163.08, 3,244.60 and 846.96

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Solution

The fourth proportional to 2,163.08, 3,244.60 and 846.96 is: 1,270.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.08 : 3,244.60 = 846.96 : x
  2. Step 2: Convert to fraction form
    2,163.08/3,244.60 = 846.96/x
  3. Step 3: Cross multiply
    2,163.08x = 3,244.60 × 846.96
  4. Step 4: Simplify right side
    2,163.08x = 2,748,046.42
  5. Step 5: Solve for x
    x = 2,748,046.42/2,163.08
  6. Step 6: Final answer
    x = 1,270.43

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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.