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Finding the Fourth Proportional to 2,033.38, 2,805.13 and 1,194.07

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Solution

The fourth proportional to 2,033.38, 2,805.13 and 1,194.07 is: 1,647.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.38 : 2,805.13 = 1,194.07 : x
  2. Step 2: Convert to fraction form
    2,033.38/2,805.13 = 1,194.07/x
  3. Step 3: Cross multiply
    2,033.38x = 2,805.13 × 1,194.07
  4. Step 4: Simplify right side
    2,033.38x = 3,349,513.43
  5. Step 5: Solve for x
    x = 3,349,513.43/2,033.38
  6. Step 6: Final answer
    x = 1,647.27

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Why These Related Problems?

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