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Finding the Fourth Proportional to 2,584.96, 3,873.60 and 1,556.48

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Solution

The fourth proportional to 2,584.96, 3,873.60 and 1,556.48 is: 2,332.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.96 : 3,873.60 = 1,556.48 : x
  2. Step 2: Convert to fraction form
    2,584.96/3,873.60 = 1,556.48/x
  3. Step 3: Cross multiply
    2,584.96x = 3,873.60 × 1,556.48
  4. Step 4: Simplify right side
    2,584.96x = 6,029,180.93
  5. Step 5: Solve for x
    x = 6,029,180.93/2,584.96
  6. Step 6: Final answer
    x = 2,332.41

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