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Finding the Fourth Proportional to 2,583.06, 3,870.90 and 1,608.60

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Solution

The fourth proportional to 2,583.06, 3,870.90 and 1,608.60 is: 2,410.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.06 : 3,870.90 = 1,608.60 : x
  2. Step 2: Convert to fraction form
    2,583.06/3,870.90 = 1,608.60/x
  3. Step 3: Cross multiply
    2,583.06x = 3,870.90 × 1,608.60
  4. Step 4: Simplify right side
    2,583.06x = 6,226,729.74
  5. Step 5: Solve for x
    x = 6,226,729.74/2,583.06
  6. Step 6: Final answer
    x = 2,410.60

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