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Finding the Fourth Proportional to 2,138.06, 3,201.69 and 1,697.15

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Solution

The fourth proportional to 2,138.06, 3,201.69 and 1,697.15 is: 2,541.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.06 : 3,201.69 = 1,697.15 : x
  2. Step 2: Convert to fraction form
    2,138.06/3,201.69 = 1,697.15/x
  3. Step 3: Cross multiply
    2,138.06x = 3,201.69 × 1,697.15
  4. Step 4: Simplify right side
    2,138.06x = 5,433,748.18
  5. Step 5: Solve for x
    x = 5,433,748.18/2,138.06
  6. Step 6: Final answer
    x = 2,541.44

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