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Finding the Fourth Proportional to 1,936.54, 2,673.57 and 1,274.50

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Solution

The fourth proportional to 1,936.54, 2,673.57 and 1,274.50 is: 1,759.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936.54 : 2,673.57 = 1,274.50 : x
  2. Step 2: Convert to fraction form
    1,936.54/2,673.57 = 1,274.50/x
  3. Step 3: Cross multiply
    1,936.54x = 2,673.57 × 1,274.50
  4. Step 4: Simplify right side
    1,936.54x = 3,407,464.97
  5. Step 5: Solve for x
    x = 3,407,464.97/1,936.54
  6. Step 6: Final answer
    x = 1,759.56

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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.