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Finding the Fourth Proportional to 1,698.38, 2,543.79 and 1,305.48

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Solution

The fourth proportional to 1,698.38, 2,543.79 and 1,305.48 is: 1,955.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.38 : 2,543.79 = 1,305.48 : x
  2. Step 2: Convert to fraction form
    1,698.38/2,543.79 = 1,305.48/x
  3. Step 3: Cross multiply
    1,698.38x = 2,543.79 × 1,305.48
  4. Step 4: Simplify right side
    1,698.38x = 3,320,881.40
  5. Step 5: Solve for x
    x = 3,320,881.40/1,698.38
  6. Step 6: Final answer
    x = 1,955.33

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