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Finding the Fourth Proportional to 3,285.95, 4,926.35 and 1,640.24

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Solution

The fourth proportional to 3,285.95, 4,926.35 and 1,640.24 is: 2,459.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.95 : 4,926.35 = 1,640.24 : x
  2. Step 2: Convert to fraction form
    3,285.95/4,926.35 = 1,640.24/x
  3. Step 3: Cross multiply
    3,285.95x = 4,926.35 × 1,640.24
  4. Step 4: Simplify right side
    3,285.95x = 8,080,363.49
  5. Step 5: Solve for x
    x = 8,080,363.49/3,285.95
  6. Step 6: Final answer
    x = 2,459.07

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