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Finding the Fourth Proportional to 2,409.78, 3,610.14 and 1,922.28

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Solution

The fourth proportional to 2,409.78, 3,610.14 and 1,922.28 is: 2,879.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.78 : 3,610.14 = 1,922.28 : x
  2. Step 2: Convert to fraction form
    2,409.78/3,610.14 = 1,922.28/x
  3. Step 3: Cross multiply
    2,409.78x = 3,610.14 × 1,922.28
  4. Step 4: Simplify right side
    2,409.78x = 6,939,699.92
  5. Step 5: Solve for x
    x = 6,939,699.92/2,409.78
  6. Step 6: Final answer
    x = 2,879.81

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