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Finding the Fourth Proportional to 2,582.87, 3,874.91 and 1,412.55

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Solution

The fourth proportional to 2,582.87, 3,874.91 and 1,412.55 is: 2,119.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.87 : 3,874.91 = 1,412.55 : x
  2. Step 2: Convert to fraction form
    2,582.87/3,874.91 = 1,412.55/x
  3. Step 3: Cross multiply
    2,582.87x = 3,874.91 × 1,412.55
  4. Step 4: Simplify right side
    2,582.87x = 5,473,497.06
  5. Step 5: Solve for x
    x = 5,473,497.06/2,582.87
  6. Step 6: Final answer
    x = 2,119.16

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