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Finding the Fourth Proportional to 1,605.76, 2,402.06 and 1,383.14

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Solution

The fourth proportional to 1,605.76, 2,402.06 and 1,383.14 is: 2,069.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.76 : 2,402.06 = 1,383.14 : x
  2. Step 2: Convert to fraction form
    1,605.76/2,402.06 = 1,383.14/x
  3. Step 3: Cross multiply
    1,605.76x = 2,402.06 × 1,383.14
  4. Step 4: Simplify right side
    1,605.76x = 3,322,384.36
  5. Step 5: Solve for x
    x = 3,322,384.36/1,605.76
  6. Step 6: Final answer
    x = 2,069.04

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