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Finding the Fourth Proportional to 2,587.76, 3,878.96 and 1,027.12

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Solution

The fourth proportional to 2,587.76, 3,878.96 and 1,027.12 is: 1,539.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.76 : 3,878.96 = 1,027.12 : x
  2. Step 2: Convert to fraction form
    2,587.76/3,878.96 = 1,027.12/x
  3. Step 3: Cross multiply
    2,587.76x = 3,878.96 × 1,027.12
  4. Step 4: Simplify right side
    2,587.76x = 3,984,157.40
  5. Step 5: Solve for x
    x = 3,984,157.40/2,587.76
  6. Step 6: Final answer
    x = 1,539.62

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