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Finding the Fourth Proportional to 1,981.32, 2,971.97 and 664.96

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Solution

The fourth proportional to 1,981.32, 2,971.97 and 664.96 is: 997.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.32 : 2,971.97 = 664.96 : x
  2. Step 2: Convert to fraction form
    1,981.32/2,971.97 = 664.96/x
  3. Step 3: Cross multiply
    1,981.32x = 2,971.97 × 664.96
  4. Step 4: Simplify right side
    1,981.32x = 1,976,241.17
  5. Step 5: Solve for x
    x = 1,976,241.17/1,981.32
  6. Step 6: Final answer
    x = 997.44

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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.