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Finding the Fourth Proportional to 2,562.06, 3,839.40 and 1,587.60

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Solution

The fourth proportional to 2,562.06, 3,839.40 and 1,587.60 is: 2,379.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.06 : 3,839.40 = 1,587.60 : x
  2. Step 2: Convert to fraction form
    2,562.06/3,839.40 = 1,587.60/x
  3. Step 3: Cross multiply
    2,562.06x = 3,839.40 × 1,587.60
  4. Step 4: Simplify right side
    2,562.06x = 6,095,431.44
  5. Step 5: Solve for x
    x = 6,095,431.44/2,562.06
  6. Step 6: Final answer
    x = 2,379.11

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