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Finding the Fourth Proportional to 2,224.05, 3,067.05 and 1,466.47

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Solution

The fourth proportional to 2,224.05, 3,067.05 and 1,466.47 is: 2,022.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.05 : 3,067.05 = 1,466.47 : x
  2. Step 2: Convert to fraction form
    2,224.05/3,067.05 = 1,466.47/x
  3. Step 3: Cross multiply
    2,224.05x = 3,067.05 × 1,466.47
  4. Step 4: Simplify right side
    2,224.05x = 4,497,736.81
  5. Step 5: Solve for x
    x = 4,497,736.81/2,224.05
  6. Step 6: Final answer
    x = 2,022.32

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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.