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Finding the Fourth Proportional to 2,796.44, 3,856.88 and 1,801.82

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Solution

The fourth proportional to 2,796.44, 3,856.88 and 1,801.82 is: 2,485.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.44 : 3,856.88 = 1,801.82 : x
  2. Step 2: Convert to fraction form
    2,796.44/3,856.88 = 1,801.82/x
  3. Step 3: Cross multiply
    2,796.44x = 3,856.88 × 1,801.82
  4. Step 4: Simplify right side
    2,796.44x = 6,949,403.52
  5. Step 5: Solve for x
    x = 6,949,403.52/2,796.44
  6. Step 6: Final answer
    x = 2,485.09

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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.