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Finding the Fourth Proportional to 1,853.78, 2,781.87 and 1,705.46

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Solution

The fourth proportional to 1,853.78, 2,781.87 and 1,705.46 is: 2,559.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.78 : 2,781.87 = 1,705.46 : x
  2. Step 2: Convert to fraction form
    1,853.78/2,781.87 = 1,705.46/x
  3. Step 3: Cross multiply
    1,853.78x = 2,781.87 × 1,705.46
  4. Step 4: Simplify right side
    1,853.78x = 4,744,368.01
  5. Step 5: Solve for x
    x = 4,744,368.01/1,853.78
  6. Step 6: Final answer
    x = 2,559.29

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