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Finding the Fourth Proportional to 2,796.45, 3,857.40 and 2,011.56

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Solution

The fourth proportional to 2,796.45, 3,857.40 and 2,011.56 is: 2,774.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.45 : 3,857.40 = 2,011.56 : x
  2. Step 2: Convert to fraction form
    2,796.45/3,857.40 = 2,011.56/x
  3. Step 3: Cross multiply
    2,796.45x = 3,857.40 × 2,011.56
  4. Step 4: Simplify right side
    2,796.45x = 7,759,391.54
  5. Step 5: Solve for x
    x = 7,759,391.54/2,796.45
  6. Step 6: Final answer
    x = 2,774.73

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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.