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Finding the Fourth Proportional to 1,378.70, 2,064.35 and 1,160.00

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Solution

The fourth proportional to 1,378.70, 2,064.35 and 1,160.00 is: 1,736.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.70 : 2,064.35 = 1,160.00 : x
  2. Step 2: Convert to fraction form
    1,378.70/2,064.35 = 1,160.00/x
  3. Step 3: Cross multiply
    1,378.70x = 2,064.35 × 1,160.00
  4. Step 4: Simplify right side
    1,378.70x = 2,394,629.88
  5. Step 5: Solve for x
    x = 2,394,629.88/1,378.70
  6. Step 6: Final answer
    x = 1,736.88

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