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Finding the Fourth Proportional to 2,659.51, 3,984.87 and 1,616.35

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Solution

The fourth proportional to 2,659.51, 3,984.87 and 1,616.35 is: 2,421.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.51 : 3,984.87 = 1,616.35 : x
  2. Step 2: Convert to fraction form
    2,659.51/3,984.87 = 1,616.35/x
  3. Step 3: Cross multiply
    2,659.51x = 3,984.87 × 1,616.35
  4. Step 4: Simplify right side
    2,659.51x = 6,440,932.44
  5. Step 5: Solve for x
    x = 6,440,932.44/2,659.51
  6. Step 6: Final answer
    x = 2,421.85

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