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Finding the Fourth Proportional to 2,986.81, 4,121.87 and 1,660.47

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Solution

The fourth proportional to 2,986.81, 4,121.87 and 1,660.47 is: 2,291.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.81 : 4,121.87 = 1,660.47 : x
  2. Step 2: Convert to fraction form
    2,986.81/4,121.87 = 1,660.47/x
  3. Step 3: Cross multiply
    2,986.81x = 4,121.87 × 1,660.47
  4. Step 4: Simplify right side
    2,986.81x = 6,844,241.48
  5. Step 5: Solve for x
    x = 6,844,241.48/2,986.81
  6. Step 6: Final answer
    x = 2,291.49

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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.