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Finding the Fourth Proportional to 2,738.78, 4,104.92 and 1,274.90

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Solution

The fourth proportional to 2,738.78, 4,104.92 and 1,274.90 is: 1,910.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.78 : 4,104.92 = 1,274.90 : x
  2. Step 2: Convert to fraction form
    2,738.78/4,104.92 = 1,274.90/x
  3. Step 3: Cross multiply
    2,738.78x = 4,104.92 × 1,274.90
  4. Step 4: Simplify right side
    2,738.78x = 5,233,362.51
  5. Step 5: Solve for x
    x = 5,233,362.51/2,738.78
  6. Step 6: Final answer
    x = 1,910.84

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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.