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Finding the Fourth Proportional to 2,163.13, 3,245.36 and 776.43

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Solution

The fourth proportional to 2,163.13, 3,245.36 and 776.43 is: 1,164.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.13 : 3,245.36 = 776.43 : x
  2. Step 2: Convert to fraction form
    2,163.13/3,245.36 = 776.43/x
  3. Step 3: Cross multiply
    2,163.13x = 3,245.36 × 776.43
  4. Step 4: Simplify right side
    2,163.13x = 2,519,794.86
  5. Step 5: Solve for x
    x = 2,519,794.86/2,163.13
  6. Step 6: Final answer
    x = 1,164.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.