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Finding the Fourth Proportional to 2,825.94, 3,896.82 and 1,986.36

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Solution

The fourth proportional to 2,825.94, 3,896.82 and 1,986.36 is: 2,739.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.94 : 3,896.82 = 1,986.36 : x
  2. Step 2: Convert to fraction form
    2,825.94/3,896.82 = 1,986.36/x
  3. Step 3: Cross multiply
    2,825.94x = 3,896.82 × 1,986.36
  4. Step 4: Simplify right side
    2,825.94x = 7,740,487.38
  5. Step 5: Solve for x
    x = 7,740,487.38/2,825.94
  6. Step 6: Final answer
    x = 2,739.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.