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Finding the Fourth Proportional to 2,736.78, 4,103.07 and 1,274.86

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Solution

The fourth proportional to 2,736.78, 4,103.07 and 1,274.86 is: 1,911.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.78 : 4,103.07 = 1,274.86 : x
  2. Step 2: Convert to fraction form
    2,736.78/4,103.07 = 1,274.86/x
  3. Step 3: Cross multiply
    2,736.78x = 4,103.07 × 1,274.86
  4. Step 4: Simplify right side
    2,736.78x = 5,230,839.82
  5. Step 5: Solve for x
    x = 5,230,839.82/2,736.78
  6. Step 6: Final answer
    x = 1,911.31

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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.