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Finding the Fourth Proportional to 2,584.11, 3,876.18 and 1,123.11

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Solution

The fourth proportional to 2,584.11, 3,876.18 and 1,123.11 is: 1,684.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.11 : 3,876.18 = 1,123.11 : x
  2. Step 2: Convert to fraction form
    2,584.11/3,876.18 = 1,123.11/x
  3. Step 3: Cross multiply
    2,584.11x = 3,876.18 × 1,123.11
  4. Step 4: Simplify right side
    2,584.11x = 4,353,376.52
  5. Step 5: Solve for x
    x = 4,353,376.52/2,584.11
  6. Step 6: Final answer
    x = 1,684.67

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