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Finding the Fourth Proportional to 2,986.82, 4,121.63 and 1,660.48

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Solution

The fourth proportional to 2,986.82, 4,121.63 and 1,660.48 is: 2,291.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.82 : 4,121.63 = 1,660.48 : x
  2. Step 2: Convert to fraction form
    2,986.82/4,121.63 = 1,660.48/x
  3. Step 3: Cross multiply
    2,986.82x = 4,121.63 × 1,660.48
  4. Step 4: Simplify right side
    2,986.82x = 6,843,884.18
  5. Step 5: Solve for x
    x = 6,843,884.18/2,986.82
  6. Step 6: Final answer
    x = 2,291.36

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