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Finding the Fourth Proportional to 1,949.25, 2,923.88 and 650.82

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Solution

The fourth proportional to 1,949.25, 2,923.88 and 650.82 is: 976.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.25 : 2,923.88 = 650.82 : x
  2. Step 2: Convert to fraction form
    1,949.25/2,923.88 = 650.82/x
  3. Step 3: Cross multiply
    1,949.25x = 2,923.88 × 650.82
  4. Step 4: Simplify right side
    1,949.25x = 1,902,916.33
  5. Step 5: Solve for x
    x = 1,902,916.33/1,949.25
  6. Step 6: Final answer
    x = 976.23

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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.