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Finding the Fourth Proportional to 2,400.89, 3,601.32 and 1,582.80

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Solution

The fourth proportional to 2,400.89, 3,601.32 and 1,582.80 is: 2,374.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.89 : 3,601.32 = 1,582.80 : x
  2. Step 2: Convert to fraction form
    2,400.89/3,601.32 = 1,582.80/x
  3. Step 3: Cross multiply
    2,400.89x = 3,601.32 × 1,582.80
  4. Step 4: Simplify right side
    2,400.89x = 5,700,169.30
  5. Step 5: Solve for x
    x = 5,700,169.30/2,400.89
  6. Step 6: Final answer
    x = 2,374.20

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