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Finding the Fourth Proportional to 2,564.76, 3,845.52 and 2,218.08

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Solution

The fourth proportional to 2,564.76, 3,845.52 and 2,218.08 is: 3,325.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.76 : 3,845.52 = 2,218.08 : x
  2. Step 2: Convert to fraction form
    2,564.76/3,845.52 = 2,218.08/x
  3. Step 3: Cross multiply
    2,564.76x = 3,845.52 × 2,218.08
  4. Step 4: Simplify right side
    2,564.76x = 8,529,671.00
  5. Step 5: Solve for x
    x = 8,529,671.00/2,564.76
  6. Step 6: Final answer
    x = 3,325.72

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