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Finding the Fourth Proportional to 1,997.70, 2,996.56 and 1,943.04

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Solution

The fourth proportional to 1,997.70, 2,996.56 and 1,943.04 is: 2,914.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.70 : 2,996.56 = 1,943.04 : x
  2. Step 2: Convert to fraction form
    1,997.70/2,996.56 = 1,943.04/x
  3. Step 3: Cross multiply
    1,997.70x = 2,996.56 × 1,943.04
  4. Step 4: Simplify right side
    1,997.70x = 5,822,435.94
  5. Step 5: Solve for x
    x = 5,822,435.94/1,997.70
  6. Step 6: Final answer
    x = 2,914.57

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1.5x scale

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.