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Finding the Fourth Proportional to 2,556.07, 3,826.14 and 1,969.55

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Solution

The fourth proportional to 2,556.07, 3,826.14 and 1,969.55 is: 2,948.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.07 : 3,826.14 = 1,969.55 : x
  2. Step 2: Convert to fraction form
    2,556.07/3,826.14 = 1,969.55/x
  3. Step 3: Cross multiply
    2,556.07x = 3,826.14 × 1,969.55
  4. Step 4: Simplify right side
    2,556.07x = 7,535,774.04
  5. Step 5: Solve for x
    x = 7,535,774.04/2,556.07
  6. Step 6: Final answer
    x = 2,948.19

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