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Finding the Fourth Proportional to 3,187.92, 4,399.38 and 1,861.80

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Solution

The fourth proportional to 3,187.92, 4,399.38 and 1,861.80 is: 2,569.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.92 : 4,399.38 = 1,861.80 : x
  2. Step 2: Convert to fraction form
    3,187.92/4,399.38 = 1,861.80/x
  3. Step 3: Cross multiply
    3,187.92x = 4,399.38 × 1,861.80
  4. Step 4: Simplify right side
    3,187.92x = 8,190,765.68
  5. Step 5: Solve for x
    x = 8,190,765.68/3,187.92
  6. Step 6: Final answer
    x = 2,569.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.