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Finding the Fourth Proportional to 1,983.97, 2,976.02 and 649.90

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Solution

The fourth proportional to 1,983.97, 2,976.02 and 649.90 is: 974.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.97 : 2,976.02 = 649.90 : x
  2. Step 2: Convert to fraction form
    1,983.97/2,976.02 = 649.90/x
  3. Step 3: Cross multiply
    1,983.97x = 2,976.02 × 649.90
  4. Step 4: Simplify right side
    1,983.97x = 1,934,097.27
  5. Step 5: Solve for x
    x = 1,934,097.27/1,983.97
  6. Step 6: Final answer
    x = 974.86

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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.