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Finding the Fourth Proportional to 2,927.82, 4,391.82 and 979.80

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Solution

The fourth proportional to 2,927.82, 4,391.82 and 979.80 is: 1,469.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927.82 : 4,391.82 = 979.80 : x
  2. Step 2: Convert to fraction form
    2,927.82/4,391.82 = 979.80/x
  3. Step 3: Cross multiply
    2,927.82x = 4,391.82 × 979.80
  4. Step 4: Simplify right side
    2,927.82x = 4,303,105.24
  5. Step 5: Solve for x
    x = 4,303,105.24/2,927.82
  6. Step 6: Final answer
    x = 1,469.73

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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.