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Finding the Fourth Proportional to 2,187, 3,280.50 and 2,131.92

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Solution

The fourth proportional to 2,187, 3,280.50 and 2,131.92 is: 3,197.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187 : 3,280.50 = 2,131.92 : x
  2. Step 2: Convert to fraction form
    2,187/3,280.50 = 2,131.92/x
  3. Step 3: Cross multiply
    2,187x = 3,280.50 × 2,131.92
  4. Step 4: Simplify right side
    2,187x = 6,993,763.56
  5. Step 5: Solve for x
    x = 6,993,763.56/2,187
  6. Step 6: Final answer
    x = 3,197.88

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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.