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Finding the Fourth Proportional to 1,949.44, 2,923.68 and 650.88

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Solution

The fourth proportional to 1,949.44, 2,923.68 and 650.88 is: 976.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.44 : 2,923.68 = 650.88 : x
  2. Step 2: Convert to fraction form
    1,949.44/2,923.68 = 650.88/x
  3. Step 3: Cross multiply
    1,949.44x = 2,923.68 × 650.88
  4. Step 4: Simplify right side
    1,949.44x = 1,902,964.84
  5. Step 5: Solve for x
    x = 1,902,964.84/1,949.44
  6. Step 6: Final answer
    x = 976.16

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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.