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Finding the Fourth Proportional to 1,692.50, 2,336.61 and 1,277.78

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Solution

The fourth proportional to 1,692.50, 2,336.61 and 1,277.78 is: 1,764.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.50 : 2,336.61 = 1,277.78 : x
  2. Step 2: Convert to fraction form
    1,692.50/2,336.61 = 1,277.78/x
  3. Step 3: Cross multiply
    1,692.50x = 2,336.61 × 1,277.78
  4. Step 4: Simplify right side
    1,692.50x = 2,985,673.53
  5. Step 5: Solve for x
    x = 2,985,673.53/1,692.50
  6. Step 6: Final answer
    x = 1,764.06

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