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Finding the Fourth Proportional to 2,282.14, 3,149.04 and 1,338.16

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Solution

The fourth proportional to 2,282.14, 3,149.04 and 1,338.16 is: 1,846.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.14 : 3,149.04 = 1,338.16 : x
  2. Step 2: Convert to fraction form
    2,282.14/3,149.04 = 1,338.16/x
  3. Step 3: Cross multiply
    2,282.14x = 3,149.04 × 1,338.16
  4. Step 4: Simplify right side
    2,282.14x = 4,213,919.37
  5. Step 5: Solve for x
    x = 4,213,919.37/2,282.14
  6. Step 6: Final answer
    x = 1,846.48

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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.