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Finding the Fourth Proportional to 2,577.66, 3,867.45 and 1,191.66

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Solution

The fourth proportional to 2,577.66, 3,867.45 and 1,191.66 is: 1,787.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.66 : 3,867.45 = 1,191.66 : x
  2. Step 2: Convert to fraction form
    2,577.66/3,867.45 = 1,191.66/x
  3. Step 3: Cross multiply
    2,577.66x = 3,867.45 × 1,191.66
  4. Step 4: Simplify right side
    2,577.66x = 4,608,685.47
  5. Step 5: Solve for x
    x = 4,608,685.47/2,577.66
  6. Step 6: Final answer
    x = 1,787.93

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