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Finding the Fourth Proportional to 1,378.36, 2,067.20 and 823.22

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Solution

The fourth proportional to 1,378.36, 2,067.20 and 823.22 is: 1,234.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.36 : 2,067.20 = 823.22 : x
  2. Step 2: Convert to fraction form
    1,378.36/2,067.20 = 823.22/x
  3. Step 3: Cross multiply
    1,378.36x = 2,067.20 × 823.22
  4. Step 4: Simplify right side
    1,378.36x = 1,701,760.38
  5. Step 5: Solve for x
    x = 1,701,760.38/1,378.36
  6. Step 6: Final answer
    x = 1,234.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.