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Finding the Fourth Proportional to 1,648.86, 2,474.64 and 1,127.58

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Solution

The fourth proportional to 1,648.86, 2,474.64 and 1,127.58 is: 1,692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.86 : 2,474.64 = 1,127.58 : x
  2. Step 2: Convert to fraction form
    1,648.86/2,474.64 = 1,127.58/x
  3. Step 3: Cross multiply
    1,648.86x = 2,474.64 × 1,127.58
  4. Step 4: Simplify right side
    1,648.86x = 2,790,354.57
  5. Step 5: Solve for x
    x = 2,790,354.57/1,648.86
  6. Step 6: Final answer
    x = 1,692.29

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