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Finding the Fourth Proportional to 1,385.44, 1,906.13 and 1,198.33

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Solution

The fourth proportional to 1,385.44, 1,906.13 and 1,198.33 is: 1,648.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.44 : 1,906.13 = 1,198.33 : x
  2. Step 2: Convert to fraction form
    1,385.44/1,906.13 = 1,198.33/x
  3. Step 3: Cross multiply
    1,385.44x = 1,906.13 × 1,198.33
  4. Step 4: Simplify right side
    1,385.44x = 2,284,170.99
  5. Step 5: Solve for x
    x = 2,284,170.99/1,385.44
  6. Step 6: Final answer
    x = 1,648.70

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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.