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Finding the Fourth Proportional to 2,556.93, 3,835.40 and 1,095.14

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Solution

The fourth proportional to 2,556.93, 3,835.40 and 1,095.14 is: 1,642.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.93 : 3,835.40 = 1,095.14 : x
  2. Step 2: Convert to fraction form
    2,556.93/3,835.40 = 1,095.14/x
  3. Step 3: Cross multiply
    2,556.93x = 3,835.40 × 1,095.14
  4. Step 4: Simplify right side
    2,556.93x = 4,200,275.30
  5. Step 5: Solve for x
    x = 4,200,275.30/2,556.93
  6. Step 6: Final answer
    x = 1,642.70

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