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Finding the Fourth Proportional to 2,582.82, 3,874.23 and 2,451.35

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Solution

The fourth proportional to 2,582.82, 3,874.23 and 2,451.35 is: 3,677.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.82 : 3,874.23 = 2,451.35 : x
  2. Step 2: Convert to fraction form
    2,582.82/3,874.23 = 2,451.35/x
  3. Step 3: Cross multiply
    2,582.82x = 3,874.23 × 2,451.35
  4. Step 4: Simplify right side
    2,582.82x = 9,497,074.34
  5. Step 5: Solve for x
    x = 9,497,074.34/2,582.82
  6. Step 6: Final answer
    x = 3,677.02

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