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Finding the Fourth Proportional to 2,736.78, 3,772.82 and 1,949.46

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Solution

The fourth proportional to 2,736.78, 3,772.82 and 1,949.46 is: 2,687.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.78 : 3,772.82 = 1,949.46 : x
  2. Step 2: Convert to fraction form
    2,736.78/3,772.82 = 1,949.46/x
  3. Step 3: Cross multiply
    2,736.78x = 3,772.82 × 1,949.46
  4. Step 4: Simplify right side
    2,736.78x = 7,354,948.41
  5. Step 5: Solve for x
    x = 7,354,948.41/2,736.78
  6. Step 6: Final answer
    x = 2,687.45

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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.