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Finding the Fourth Proportional to 1,964.10, 2,944.32 and 664.66

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Solution

The fourth proportional to 1,964.10, 2,944.32 and 664.66 is: 996.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.10 : 2,944.32 = 664.66 : x
  2. Step 2: Convert to fraction form
    1,964.10/2,944.32 = 664.66/x
  3. Step 3: Cross multiply
    1,964.10x = 2,944.32 × 664.66
  4. Step 4: Simplify right side
    1,964.10x = 1,956,971.73
  5. Step 5: Solve for x
    x = 1,956,971.73/1,964.10
  6. Step 6: Final answer
    x = 996.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.