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Finding the Fourth Proportional to 2,986.92, 4,121.96 and 1,660.68

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Solution

The fourth proportional to 2,986.92, 4,121.96 and 1,660.68 is: 2,291.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.92 : 4,121.96 = 1,660.68 : x
  2. Step 2: Convert to fraction form
    2,986.92/4,121.96 = 1,660.68/x
  3. Step 3: Cross multiply
    2,986.92x = 4,121.96 × 1,660.68
  4. Step 4: Simplify right side
    2,986.92x = 6,845,248.23
  5. Step 5: Solve for x
    x = 6,845,248.23/2,986.92
  6. Step 6: Final answer
    x = 2,291.74

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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.