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Finding the Fourth Proportional to 2,033.82, 2,806.81 and 1,149.78

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Solution

The fourth proportional to 2,033.82, 2,806.81 and 1,149.78 is: 1,586.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.82 : 2,806.81 = 1,149.78 : x
  2. Step 2: Convert to fraction form
    2,033.82/2,806.81 = 1,149.78/x
  3. Step 3: Cross multiply
    2,033.82x = 2,806.81 × 1,149.78
  4. Step 4: Simplify right side
    2,033.82x = 3,227,221.65
  5. Step 5: Solve for x
    x = 3,227,221.65/2,033.82
  6. Step 6: Final answer
    x = 1,586.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.