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Finding the Fourth Proportional to 2,986.97, 4,122.11 and 1,660.73

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Solution

The fourth proportional to 2,986.97, 4,122.11 and 1,660.73 is: 2,291.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.97 : 4,122.11 = 1,660.73 : x
  2. Step 2: Convert to fraction form
    2,986.97/4,122.11 = 1,660.73/x
  3. Step 3: Cross multiply
    2,986.97x = 4,122.11 × 1,660.73
  4. Step 4: Simplify right side
    2,986.97x = 6,845,682.83
  5. Step 5: Solve for x
    x = 6,845,682.83/2,986.97
  6. Step 6: Final answer
    x = 2,291.85

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1.5x scale

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.