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Finding the Fourth Proportional to 1,964.18, 2,945.16 and 664.94

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Solution

The fourth proportional to 1,964.18, 2,945.16 and 664.94 is: 997.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.18 : 2,945.16 = 664.94 : x
  2. Step 2: Convert to fraction form
    1,964.18/2,945.16 = 664.94/x
  3. Step 3: Cross multiply
    1,964.18x = 2,945.16 × 664.94
  4. Step 4: Simplify right side
    1,964.18x = 1,958,354.69
  5. Step 5: Solve for x
    x = 1,958,354.69/1,964.18
  6. Step 6: Final answer
    x = 997.03

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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.