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Finding the Fourth Proportional to 2,380.83, 3,566.93 and 1,866.75

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Solution

The fourth proportional to 2,380.83, 3,566.93 and 1,866.75 is: 2,796.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.83 : 3,566.93 = 1,866.75 : x
  2. Step 2: Convert to fraction form
    2,380.83/3,566.93 = 1,866.75/x
  3. Step 3: Cross multiply
    2,380.83x = 3,566.93 × 1,866.75
  4. Step 4: Simplify right side
    2,380.83x = 6,658,557.24
  5. Step 5: Solve for x
    x = 6,658,557.24/2,380.83
  6. Step 6: Final answer
    x = 2,796.74

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