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Finding the Fourth Proportional to 2,832.80, 4,241.97 and 2,219.72

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Solution

The fourth proportional to 2,832.80, 4,241.97 and 2,219.72 is: 3,323.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.80 : 4,241.97 = 2,219.72 : x
  2. Step 2: Convert to fraction form
    2,832.80/4,241.97 = 2,219.72/x
  3. Step 3: Cross multiply
    2,832.80x = 4,241.97 × 2,219.72
  4. Step 4: Simplify right side
    2,832.80x = 9,415,964.44
  5. Step 5: Solve for x
    x = 9,415,964.44/2,832.80
  6. Step 6: Final answer
    x = 3,323.91

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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.