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Finding the Fourth Proportional to 2,860.80, 4,292.55 and 2,131.80

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Solution

The fourth proportional to 2,860.80, 4,292.55 and 2,131.80 is: 3,198.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.80 : 4,292.55 = 2,131.80 : x
  2. Step 2: Convert to fraction form
    2,860.80/4,292.55 = 2,131.80/x
  3. Step 3: Cross multiply
    2,860.80x = 4,292.55 × 2,131.80
  4. Step 4: Simplify right side
    2,860.80x = 9,150,858.09
  5. Step 5: Solve for x
    x = 9,150,858.09/2,860.80
  6. Step 6: Final answer
    x = 3,198.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.