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Finding the Fourth Proportional to 2,779.62, 3,837.69 and 2,256.90

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Solution

The fourth proportional to 2,779.62, 3,837.69 and 2,256.90 is: 3,116.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.62 : 3,837.69 = 2,256.90 : x
  2. Step 2: Convert to fraction form
    2,779.62/3,837.69 = 2,256.90/x
  3. Step 3: Cross multiply
    2,779.62x = 3,837.69 × 2,256.90
  4. Step 4: Simplify right side
    2,779.62x = 8,661,282.56
  5. Step 5: Solve for x
    x = 8,661,282.56/2,779.62
  6. Step 6: Final answer
    x = 3,116.00

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