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Finding the Fourth Proportional to 3,185.28, 4,779.84 and 2,198.88

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Solution

The fourth proportional to 3,185.28, 4,779.84 and 2,198.88 is: 3,299.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.28 : 4,779.84 = 2,198.88 : x
  2. Step 2: Convert to fraction form
    3,185.28/4,779.84 = 2,198.88/x
  3. Step 3: Cross multiply
    3,185.28x = 4,779.84 × 2,198.88
  4. Step 4: Simplify right side
    3,185.28x = 10,510,294.58
  5. Step 5: Solve for x
    x = 10,510,294.58/3,185.28
  6. Step 6: Final answer
    x = 3,299.65

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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.