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Finding the Fourth Proportional to 1,982.66, 2,972.98 and 665.94

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Solution

The fourth proportional to 1,982.66, 2,972.98 and 665.94 is: 998.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.66 : 2,972.98 = 665.94 : x
  2. Step 2: Convert to fraction form
    1,982.66/2,972.98 = 665.94/x
  3. Step 3: Cross multiply
    1,982.66x = 2,972.98 × 665.94
  4. Step 4: Simplify right side
    1,982.66x = 1,979,824.64
  5. Step 5: Solve for x
    x = 1,979,824.64/1,982.66
  6. Step 6: Final answer
    x = 998.57

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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.