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Finding the Fourth Proportional to 2,609.64, 3,916.26 and 1,512.54

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Solution

The fourth proportional to 2,609.64, 3,916.26 and 1,512.54 is: 2,269.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.64 : 3,916.26 = 1,512.54 : x
  2. Step 2: Convert to fraction form
    2,609.64/3,916.26 = 1,512.54/x
  3. Step 3: Cross multiply
    2,609.64x = 3,916.26 × 1,512.54
  4. Step 4: Simplify right side
    2,609.64x = 5,923,499.90
  5. Step 5: Solve for x
    x = 5,923,499.90/2,609.64
  6. Step 6: Final answer
    x = 2,269.85

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