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Finding the Fourth Proportional to 2,033.14, 2,805.98 and 1,194.16

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Solution

The fourth proportional to 2,033.14, 2,805.98 and 1,194.16 is: 1,648.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.14 : 2,805.98 = 1,194.16 : x
  2. Step 2: Convert to fraction form
    2,033.14/2,805.98 = 1,194.16/x
  3. Step 3: Cross multiply
    2,033.14x = 2,805.98 × 1,194.16
  4. Step 4: Simplify right side
    2,033.14x = 3,350,789.08
  5. Step 5: Solve for x
    x = 3,350,789.08/2,033.14
  6. Step 6: Final answer
    x = 1,648.09

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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.