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Finding the Fourth Proportional to 2,779.81, 3,835.83 and 1,600.86

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Solution

The fourth proportional to 2,779.81, 3,835.83 and 1,600.86 is: 2,209.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.81 : 3,835.83 = 1,600.86 : x
  2. Step 2: Convert to fraction form
    2,779.81/3,835.83 = 1,600.86/x
  3. Step 3: Cross multiply
    2,779.81x = 3,835.83 × 1,600.86
  4. Step 4: Simplify right side
    2,779.81x = 6,140,626.81
  5. Step 5: Solve for x
    x = 6,140,626.81/2,779.81
  6. Step 6: Final answer
    x = 2,209.01

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