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Finding the Fourth Proportional to 2,163.74, 3,241.10 and 2,008.08

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Solution

The fourth proportional to 2,163.74, 3,241.10 and 2,008.08 is: 3,007.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.74 : 3,241.10 = 2,008.08 : x
  2. Step 2: Convert to fraction form
    2,163.74/3,241.10 = 2,008.08/x
  3. Step 3: Cross multiply
    2,163.74x = 3,241.10 × 2,008.08
  4. Step 4: Simplify right side
    2,163.74x = 6,508,371.88
  5. Step 5: Solve for x
    x = 6,508,371.88/2,163.74
  6. Step 6: Final answer
    x = 3,007.93

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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.