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Finding the Fourth Proportional to 1,791.70, 2,690.58 and 1,099.75

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Solution

The fourth proportional to 1,791.70, 2,690.58 and 1,099.75 is: 1,651.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.70 : 2,690.58 = 1,099.75 : x
  2. Step 2: Convert to fraction form
    1,791.70/2,690.58 = 1,099.75/x
  3. Step 3: Cross multiply
    1,791.70x = 2,690.58 × 1,099.75
  4. Step 4: Simplify right side
    1,791.70x = 2,958,965.36
  5. Step 5: Solve for x
    x = 2,958,965.36/1,791.70
  6. Step 6: Final answer
    x = 1,651.48

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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.