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Finding the Fourth Proportional to 2,519.82, 3,771.99 and 2,282.22

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Solution

The fourth proportional to 2,519.82, 3,771.99 and 2,282.22 is: 3,416.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.82 : 3,771.99 = 2,282.22 : x
  2. Step 2: Convert to fraction form
    2,519.82/3,771.99 = 2,282.22/x
  3. Step 3: Cross multiply
    2,519.82x = 3,771.99 × 2,282.22
  4. Step 4: Simplify right side
    2,519.82x = 8,608,511.02
  5. Step 5: Solve for x
    x = 8,608,511.02/2,519.82
  6. Step 6: Final answer
    x = 3,416.32

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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.