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Finding the Fourth Proportional to 1,949.23, 2,924.25 and 650.71

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Solution

The fourth proportional to 1,949.23, 2,924.25 and 650.71 is: 976.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.23 : 2,924.25 = 650.71 : x
  2. Step 2: Convert to fraction form
    1,949.23/2,924.25 = 650.71/x
  3. Step 3: Cross multiply
    1,949.23x = 2,924.25 × 650.71
  4. Step 4: Simplify right side
    1,949.23x = 1,902,838.72
  5. Step 5: Solve for x
    x = 1,902,838.72/1,949.23
  6. Step 6: Final answer
    x = 976.20

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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.