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Finding the Fourth Proportional to 1,776.96, 2,660.31 and 1,340.06

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Solution

The fourth proportional to 1,776.96, 2,660.31 and 1,340.06 is: 2,006.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.96 : 2,660.31 = 1,340.06 : x
  2. Step 2: Convert to fraction form
    1,776.96/2,660.31 = 1,340.06/x
  3. Step 3: Cross multiply
    1,776.96x = 2,660.31 × 1,340.06
  4. Step 4: Simplify right side
    1,776.96x = 3,564,961.72
  5. Step 5: Solve for x
    x = 3,564,961.72/1,776.96
  6. Step 6: Final answer
    x = 2,006.21

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