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Finding the Fourth Proportional to 3,190.97, 4,403.25 and 2,011.80

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Solution

The fourth proportional to 3,190.97, 4,403.25 and 2,011.80 is: 2,776.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.97 : 4,403.25 = 2,011.80 : x
  2. Step 2: Convert to fraction form
    3,190.97/4,403.25 = 2,011.80/x
  3. Step 3: Cross multiply
    3,190.97x = 4,403.25 × 2,011.80
  4. Step 4: Simplify right side
    3,190.97x = 8,858,458.35
  5. Step 5: Solve for x
    x = 8,858,458.35/3,190.97
  6. Step 6: Final answer
    x = 2,776.11

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