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Finding the Fourth Proportional to 1,983.82, 2,974.40 and 873.24

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Solution

The fourth proportional to 1,983.82, 2,974.40 and 873.24 is: 1,309.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.82 : 2,974.40 = 873.24 : x
  2. Step 2: Convert to fraction form
    1,983.82/2,974.40 = 873.24/x
  3. Step 3: Cross multiply
    1,983.82x = 2,974.40 × 873.24
  4. Step 4: Simplify right side
    1,983.82x = 2,597,365.06
  5. Step 5: Solve for x
    x = 2,597,365.06/1,983.82
  6. Step 6: Final answer
    x = 1,309.27

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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.