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Finding the Fourth Proportional to 2,588.15, 3,870.31 and 1,922.31

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Solution

The fourth proportional to 2,588.15, 3,870.31 and 1,922.31 is: 2,874.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.15 : 3,870.31 = 1,922.31 : x
  2. Step 2: Convert to fraction form
    2,588.15/3,870.31 = 1,922.31/x
  3. Step 3: Cross multiply
    2,588.15x = 3,870.31 × 1,922.31
  4. Step 4: Simplify right side
    2,588.15x = 7,439,906.65
  5. Step 5: Solve for x
    x = 7,439,906.65/2,588.15
  6. Step 6: Final answer
    x = 2,874.60

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