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Finding the Fourth Proportional to 2,587.78, 3,878.17 and 1,855.75

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Solution

The fourth proportional to 2,587.78, 3,878.17 and 1,855.75 is: 2,781.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.78 : 3,878.17 = 1,855.75 : x
  2. Step 2: Convert to fraction form
    2,587.78/3,878.17 = 1,855.75/x
  3. Step 3: Cross multiply
    2,587.78x = 3,878.17 × 1,855.75
  4. Step 4: Simplify right side
    2,587.78x = 7,196,913.98
  5. Step 5: Solve for x
    x = 7,196,913.98/2,587.78
  6. Step 6: Final answer
    x = 2,781.12

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