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Finding the Fourth Proportional to 3,209.99, 4,812.65 and 2,167.41

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Solution

The fourth proportional to 3,209.99, 4,812.65 and 2,167.41 is: 3,249.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.99 : 4,812.65 = 2,167.41 : x
  2. Step 2: Convert to fraction form
    3,209.99/4,812.65 = 2,167.41/x
  3. Step 3: Cross multiply
    3,209.99x = 4,812.65 × 2,167.41
  4. Step 4: Simplify right side
    3,209.99x = 10,430,983.15
  5. Step 5: Solve for x
    x = 10,430,983.15/3,209.99
  6. Step 6: Final answer
    x = 3,249.54

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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.