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Finding the Fourth Proportional to 2,576.85, 3,865.92 and 1,406.52

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Solution

The fourth proportional to 2,576.85, 3,865.92 and 1,406.52 is: 2,110.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.85 : 3,865.92 = 1,406.52 : x
  2. Step 2: Convert to fraction form
    2,576.85/3,865.92 = 1,406.52/x
  3. Step 3: Cross multiply
    2,576.85x = 3,865.92 × 1,406.52
  4. Step 4: Simplify right side
    2,576.85x = 5,437,493.80
  5. Step 5: Solve for x
    x = 5,437,493.80/2,576.85
  6. Step 6: Final answer
    x = 2,110.13

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