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Finding the Fourth Proportional to 2,986.68, 4,122.32 and 1,660.89

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Solution

The fourth proportional to 2,986.68, 4,122.32 and 1,660.89 is: 2,292.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.68 : 4,122.32 = 1,660.89 : x
  2. Step 2: Convert to fraction form
    2,986.68/4,122.32 = 1,660.89/x
  3. Step 3: Cross multiply
    2,986.68x = 4,122.32 × 1,660.89
  4. Step 4: Simplify right side
    2,986.68x = 6,846,711.76
  5. Step 5: Solve for x
    x = 6,846,711.76/2,986.68
  6. Step 6: Final answer
    x = 2,292.42

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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.