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Finding the Fourth Proportional to 1,778.64, 2,666.40 and 1,431.36

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Solution

The fourth proportional to 1,778.64, 2,666.40 and 1,431.36 is: 2,145.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.64 : 2,666.40 = 1,431.36 : x
  2. Step 2: Convert to fraction form
    1,778.64/2,666.40 = 1,431.36/x
  3. Step 3: Cross multiply
    1,778.64x = 2,666.40 × 1,431.36
  4. Step 4: Simplify right side
    1,778.64x = 3,816,578.30
  5. Step 5: Solve for x
    x = 3,816,578.30/1,778.64
  6. Step 6: Final answer
    x = 2,145.78

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