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Finding the Fourth Proportional to 1,692.80, 2,539.16 and 1,415.78

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Solution

The fourth proportional to 1,692.80, 2,539.16 and 1,415.78 is: 2,123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.80 : 2,539.16 = 1,415.78 : x
  2. Step 2: Convert to fraction form
    1,692.80/2,539.16 = 1,415.78/x
  3. Step 3: Cross multiply
    1,692.80x = 2,539.16 × 1,415.78
  4. Step 4: Simplify right side
    1,692.80x = 3,594,891.94
  5. Step 5: Solve for x
    x = 3,594,891.94/1,692.80
  6. Step 6: Final answer
    x = 2,123.64

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