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Finding the Fourth Proportional to 2,785.86, 4,177.56 and 1,466.64

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Solution

The fourth proportional to 2,785.86, 4,177.56 and 1,466.64 is: 2,199.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.86 : 4,177.56 = 1,466.64 : x
  2. Step 2: Convert to fraction form
    2,785.86/4,177.56 = 1,466.64/x
  3. Step 3: Cross multiply
    2,785.86x = 4,177.56 × 1,466.64
  4. Step 4: Simplify right side
    2,785.86x = 6,126,976.60
  5. Step 5: Solve for x
    x = 6,126,976.60/2,785.86
  6. Step 6: Final answer
    x = 2,199.31

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