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Finding the Fourth Proportional to 2,600.48, 3,896.54 and 2,077.76

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Solution

The fourth proportional to 2,600.48, 3,896.54 and 2,077.76 is: 3,113.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.48 : 3,896.54 = 2,077.76 : x
  2. Step 2: Convert to fraction form
    2,600.48/3,896.54 = 2,077.76/x
  3. Step 3: Cross multiply
    2,600.48x = 3,896.54 × 2,077.76
  4. Step 4: Simplify right side
    2,600.48x = 8,096,074.95
  5. Step 5: Solve for x
    x = 8,096,074.95/2,600.48
  6. Step 6: Final answer
    x = 3,113.30

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