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Finding the Fourth Proportional to 1,736.39, 2,603.78 and 1,006.18

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Solution

The fourth proportional to 1,736.39, 2,603.78 and 1,006.18 is: 1,508.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.39 : 2,603.78 = 1,006.18 : x
  2. Step 2: Convert to fraction form
    1,736.39/2,603.78 = 1,006.18/x
  3. Step 3: Cross multiply
    1,736.39x = 2,603.78 × 1,006.18
  4. Step 4: Simplify right side
    1,736.39x = 2,619,863.59
  5. Step 5: Solve for x
    x = 2,619,863.59/1,736.39
  6. Step 6: Final answer
    x = 1,508.80

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