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Finding the Fourth Proportional to 1,396.78, 1,940.91 and 1,381.59

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Solution

The fourth proportional to 1,396.78, 1,940.91 and 1,381.59 is: 1,919.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.78 : 1,940.91 = 1,381.59 : x
  2. Step 2: Convert to fraction form
    1,396.78/1,940.91 = 1,381.59/x
  3. Step 3: Cross multiply
    1,396.78x = 1,940.91 × 1,381.59
  4. Step 4: Simplify right side
    1,396.78x = 2,681,532.14
  5. Step 5: Solve for x
    x = 2,681,532.14/1,396.78
  6. Step 6: Final answer
    x = 1,919.80

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.