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Finding the Fourth Proportional to 1,983.44, 2,974.12 and 684.60

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Solution

The fourth proportional to 1,983.44, 2,974.12 and 684.60 is: 1,026.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.44 : 2,974.12 = 684.60 : x
  2. Step 2: Convert to fraction form
    1,983.44/2,974.12 = 684.60/x
  3. Step 3: Cross multiply
    1,983.44x = 2,974.12 × 684.60
  4. Step 4: Simplify right side
    1,983.44x = 2,036,082.55
  5. Step 5: Solve for x
    x = 2,036,082.55/1,983.44
  6. Step 6: Final answer
    x = 1,026.54

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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.