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Finding the Fourth Proportional to 1,208.19, 1,797.82 and 1,204.09

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Solution

The fourth proportional to 1,208.19, 1,797.82 and 1,204.09 is: 1,791.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.19 : 1,797.82 = 1,204.09 : x
  2. Step 2: Convert to fraction form
    1,208.19/1,797.82 = 1,204.09/x
  3. Step 3: Cross multiply
    1,208.19x = 1,797.82 × 1,204.09
  4. Step 4: Simplify right side
    1,208.19x = 2,164,739.69
  5. Step 5: Solve for x
    x = 2,164,739.69/1,208.19
  6. Step 6: Final answer
    x = 1,791.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.