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Finding the Fourth Proportional to 2,120.65, 3,180.96 and 659.80

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Solution

The fourth proportional to 2,120.65, 3,180.96 and 659.80 is: 989.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.65 : 3,180.96 = 659.80 : x
  2. Step 2: Convert to fraction form
    2,120.65/3,180.96 = 659.80/x
  3. Step 3: Cross multiply
    2,120.65x = 3,180.96 × 659.80
  4. Step 4: Simplify right side
    2,120.65x = 2,098,797.41
  5. Step 5: Solve for x
    x = 2,098,797.41/2,120.65
  6. Step 6: Final answer
    x = 989.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.