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Finding the Fourth Proportional to 2,556.78, 3,835.20 and 1,684.86

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Solution

The fourth proportional to 2,556.78, 3,835.20 and 1,684.86 is: 2,527.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.78 : 3,835.20 = 1,684.86 : x
  2. Step 2: Convert to fraction form
    2,556.78/3,835.20 = 1,684.86/x
  3. Step 3: Cross multiply
    2,556.78x = 3,835.20 × 1,684.86
  4. Step 4: Simplify right side
    2,556.78x = 6,461,775.07
  5. Step 5: Solve for x
    x = 6,461,775.07/2,556.78
  6. Step 6: Final answer
    x = 2,527.31

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