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Finding the Fourth Proportional to 1,826.64, 2,745.90 and 1,465.38

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Solution

The fourth proportional to 1,826.64, 2,745.90 and 1,465.38 is: 2,202.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.64 : 2,745.90 = 1,465.38 : x
  2. Step 2: Convert to fraction form
    1,826.64/2,745.90 = 1,465.38/x
  3. Step 3: Cross multiply
    1,826.64x = 2,745.90 × 1,465.38
  4. Step 4: Simplify right side
    1,826.64x = 4,023,786.94
  5. Step 5: Solve for x
    x = 4,023,786.94/1,826.64
  6. Step 6: Final answer
    x = 2,202.84

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