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Finding the Fourth Proportional to 2,584.51, 3,876.06 and 1,123.31

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Solution

The fourth proportional to 2,584.51, 3,876.06 and 1,123.31 is: 1,684.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.51 : 3,876.06 = 1,123.31 : x
  2. Step 2: Convert to fraction form
    2,584.51/3,876.06 = 1,123.31/x
  3. Step 3: Cross multiply
    2,584.51x = 3,876.06 × 1,123.31
  4. Step 4: Simplify right side
    2,584.51x = 4,354,030.86
  5. Step 5: Solve for x
    x = 4,354,030.86/2,584.51
  6. Step 6: Final answer
    x = 1,684.67

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