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Finding the Fourth Proportional to 3,284.70, 4,927.62 and 1,640.94

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Solution

The fourth proportional to 3,284.70, 4,927.62 and 1,640.94 is: 2,461.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.70 : 4,927.62 = 1,640.94 : x
  2. Step 2: Convert to fraction form
    3,284.70/4,927.62 = 1,640.94/x
  3. Step 3: Cross multiply
    3,284.70x = 4,927.62 × 1,640.94
  4. Step 4: Simplify right side
    3,284.70x = 8,085,928.76
  5. Step 5: Solve for x
    x = 8,085,928.76/3,284.70
  6. Step 6: Final answer
    x = 2,461.69

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