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Finding the Fourth Proportional to 2,033.26, 2,806.00 and 1,194.01

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Solution

The fourth proportional to 2,033.26, 2,806.00 and 1,194.01 is: 1,647.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.26 : 2,806.00 = 1,194.01 : x
  2. Step 2: Convert to fraction form
    2,033.26/2,806.00 = 1,194.01/x
  3. Step 3: Cross multiply
    2,033.26x = 2,806.00 × 1,194.01
  4. Step 4: Simplify right side
    2,033.26x = 3,350,382.06
  5. Step 5: Solve for x
    x = 3,350,382.06/2,033.26
  6. Step 6: Final answer
    x = 1,647.79

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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.