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Finding the Fourth Proportional to 2,183.64, 3,012.63 and 1,438.04

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Solution

The fourth proportional to 2,183.64, 3,012.63 and 1,438.04 is: 1,983.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.64 : 3,012.63 = 1,438.04 : x
  2. Step 2: Convert to fraction form
    2,183.64/3,012.63 = 1,438.04/x
  3. Step 3: Cross multiply
    2,183.64x = 3,012.63 × 1,438.04
  4. Step 4: Simplify right side
    2,183.64x = 4,332,267.38
  5. Step 5: Solve for x
    x = 4,332,267.38/2,183.64
  6. Step 6: Final answer
    x = 1,983.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.