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Finding the Fourth Proportional to 2,986.98, 4,122.08 and 1,660.69

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Solution

The fourth proportional to 2,986.98, 4,122.08 and 1,660.69 is: 2,291.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.98 : 4,122.08 = 1,660.69 : x
  2. Step 2: Convert to fraction form
    2,986.98/4,122.08 = 1,660.69/x
  3. Step 3: Cross multiply
    2,986.98x = 4,122.08 × 1,660.69
  4. Step 4: Simplify right side
    2,986.98x = 6,845,497.04
  5. Step 5: Solve for x
    x = 6,845,497.04/2,986.98
  6. Step 6: Final answer
    x = 2,291.78

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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.