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Finding the Fourth Proportional to 2,120.22, 3,180.79 and 659.49

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Solution

The fourth proportional to 2,120.22, 3,180.79 and 659.49 is: 989.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.22 : 3,180.79 = 659.49 : x
  2. Step 2: Convert to fraction form
    2,120.22/3,180.79 = 659.49/x
  3. Step 3: Cross multiply
    2,120.22x = 3,180.79 × 659.49
  4. Step 4: Simplify right side
    2,120.22x = 2,097,680.00
  5. Step 5: Solve for x
    x = 2,097,680.00/2,120.22
  6. Step 6: Final answer
    x = 989.37

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Why These Related Problems?

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