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Finding the Fourth Proportional to 1,269.40, 1,905.46 and 1,066.20

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Solution

The fourth proportional to 1,269.40, 1,905.46 and 1,066.20 is: 1,600.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.40 : 1,905.46 = 1,066.20 : x
  2. Step 2: Convert to fraction form
    1,269.40/1,905.46 = 1,066.20/x
  3. Step 3: Cross multiply
    1,269.40x = 1,905.46 × 1,066.20
  4. Step 4: Simplify right side
    1,269.40x = 2,031,601.45
  5. Step 5: Solve for x
    x = 2,031,601.45/1,269.40
  6. Step 6: Final answer
    x = 1,600.44

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