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Finding the Fourth Proportional to 2,758.60, 4,137.89 and 1,198.40

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Solution

The fourth proportional to 2,758.60, 4,137.89 and 1,198.40 is: 1,797.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.60 : 4,137.89 = 1,198.40 : x
  2. Step 2: Convert to fraction form
    2,758.60/4,137.89 = 1,198.40/x
  3. Step 3: Cross multiply
    2,758.60x = 4,137.89 × 1,198.40
  4. Step 4: Simplify right side
    2,758.60x = 4,958,847.38
  5. Step 5: Solve for x
    x = 4,958,847.38/2,758.60
  6. Step 6: Final answer
    x = 1,797.60

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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.