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Finding the Fourth Proportional to 1,956.26, 2,933.84 and 1,406.82

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Solution

The fourth proportional to 1,956.26, 2,933.84 and 1,406.82 is: 2,109.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.26 : 2,933.84 = 1,406.82 : x
  2. Step 2: Convert to fraction form
    1,956.26/2,933.84 = 1,406.82/x
  3. Step 3: Cross multiply
    1,956.26x = 2,933.84 × 1,406.82
  4. Step 4: Simplify right side
    1,956.26x = 4,127,384.79
  5. Step 5: Solve for x
    x = 4,127,384.79/1,956.26
  6. Step 6: Final answer
    x = 2,109.83

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