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Finding the Fourth Proportional to 2,774.62, 3,799.82 and 2,738.17

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Solution

The fourth proportional to 2,774.62, 3,799.82 and 2,738.17 is: 3,749.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.62 : 3,799.82 = 2,738.17 : x
  2. Step 2: Convert to fraction form
    2,774.62/3,799.82 = 2,738.17/x
  3. Step 3: Cross multiply
    2,774.62x = 3,799.82 × 2,738.17
  4. Step 4: Simplify right side
    2,774.62x = 10,404,553.13
  5. Step 5: Solve for x
    x = 10,404,553.13/2,774.62
  6. Step 6: Final answer
    x = 3,749.90

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.