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Finding the Fourth Proportional to 2,986.99, 4,122.02 and 1,660.73

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Solution

The fourth proportional to 2,986.99, 4,122.02 and 1,660.73 is: 2,291.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.99 : 4,122.02 = 1,660.73 : x
  2. Step 2: Convert to fraction form
    2,986.99/4,122.02 = 1,660.73/x
  3. Step 3: Cross multiply
    2,986.99x = 4,122.02 × 1,660.73
  4. Step 4: Simplify right side
    2,986.99x = 6,845,545.82
  5. Step 5: Solve for x
    x = 6,845,545.82/2,986.99
  6. Step 6: Final answer
    x = 2,291.79

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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.