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Finding the Fourth Proportional to 2,149.58, 3,222.18 and 980.39

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Solution

The fourth proportional to 2,149.58, 3,222.18 and 980.39 is: 1,469.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.58 : 3,222.18 = 980.39 : x
  2. Step 2: Convert to fraction form
    2,149.58/3,222.18 = 980.39/x
  3. Step 3: Cross multiply
    2,149.58x = 3,222.18 × 980.39
  4. Step 4: Simplify right side
    2,149.58x = 3,158,976.94
  5. Step 5: Solve for x
    x = 3,158,976.94/2,149.58
  6. Step 6: Final answer
    x = 1,469.58

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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.