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Finding the Fourth Proportional to 2,811.44, 4,214.64 and 2,191.76

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Solution

The fourth proportional to 2,811.44, 4,214.64 and 2,191.76 is: 3,285.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.44 : 4,214.64 = 2,191.76 : x
  2. Step 2: Convert to fraction form
    2,811.44/4,214.64 = 2,191.76/x
  3. Step 3: Cross multiply
    2,811.44x = 4,214.64 × 2,191.76
  4. Step 4: Simplify right side
    2,811.44x = 9,237,479.37
  5. Step 5: Solve for x
    x = 9,237,479.37/2,811.44
  6. Step 6: Final answer
    x = 3,285.68

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