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Finding the Fourth Proportional to 2,112.80, 2,916.68 and 1,405.82

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Solution

The fourth proportional to 2,112.80, 2,916.68 and 1,405.82 is: 1,940.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.80 : 2,916.68 = 1,405.82 : x
  2. Step 2: Convert to fraction form
    2,112.80/2,916.68 = 1,405.82/x
  3. Step 3: Cross multiply
    2,112.80x = 2,916.68 × 1,405.82
  4. Step 4: Simplify right side
    2,112.80x = 4,100,337.88
  5. Step 5: Solve for x
    x = 4,100,337.88/2,112.80
  6. Step 6: Final answer
    x = 1,940.71

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