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Finding the Fourth Proportional to 2,093.93, 3,136.81 and 1,166.69

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Solution

The fourth proportional to 2,093.93, 3,136.81 and 1,166.69 is: 1,747.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.93 : 3,136.81 = 1,166.69 : x
  2. Step 2: Convert to fraction form
    2,093.93/3,136.81 = 1,166.69/x
  3. Step 3: Cross multiply
    2,093.93x = 3,136.81 × 1,166.69
  4. Step 4: Simplify right side
    2,093.93x = 3,659,689.78
  5. Step 5: Solve for x
    x = 3,659,689.78/2,093.93
  6. Step 6: Final answer
    x = 1,747.76

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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.