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Finding the Fourth Proportional to 1,778.63, 2,659.71 and 1,584.77

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Solution

The fourth proportional to 1,778.63, 2,659.71 and 1,584.77 is: 2,369.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.63 : 2,659.71 = 1,584.77 : x
  2. Step 2: Convert to fraction form
    1,778.63/2,659.71 = 1,584.77/x
  3. Step 3: Cross multiply
    1,778.63x = 2,659.71 × 1,584.77
  4. Step 4: Simplify right side
    1,778.63x = 4,215,028.62
  5. Step 5: Solve for x
    x = 4,215,028.62/1,778.63
  6. Step 6: Final answer
    x = 2,369.82

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