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Finding the Fourth Proportional to 2,788.42, 3,850.77 and 2,198.02

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Solution

The fourth proportional to 2,788.42, 3,850.77 and 2,198.02 is: 3,035.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.42 : 3,850.77 = 2,198.02 : x
  2. Step 2: Convert to fraction form
    2,788.42/3,850.77 = 2,198.02/x
  3. Step 3: Cross multiply
    2,788.42x = 3,850.77 × 2,198.02
  4. Step 4: Simplify right side
    2,788.42x = 8,464,069.48
  5. Step 5: Solve for x
    x = 8,464,069.48/2,788.42
  6. Step 6: Final answer
    x = 3,035.44

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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.