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Finding the Fourth Proportional to 2,825.78, 3,896.80 and 2,027.76

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Solution

The fourth proportional to 2,825.78, 3,896.80 and 2,027.76 is: 2,796.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.78 : 3,896.80 = 2,027.76 : x
  2. Step 2: Convert to fraction form
    2,825.78/3,896.80 = 2,027.76/x
  3. Step 3: Cross multiply
    2,825.78x = 3,896.80 × 2,027.76
  4. Step 4: Simplify right side
    2,825.78x = 7,901,775.17
  5. Step 5: Solve for x
    x = 7,901,775.17/2,825.78
  6. Step 6: Final answer
    x = 2,796.32

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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.