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Finding the Fourth Proportional to 3,022.43, 4,529.43 and 1,636.52

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Solution

The fourth proportional to 3,022.43, 4,529.43 and 1,636.52 is: 2,452.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.43 : 4,529.43 = 1,636.52 : x
  2. Step 2: Convert to fraction form
    3,022.43/4,529.43 = 1,636.52/x
  3. Step 3: Cross multiply
    3,022.43x = 4,529.43 × 1,636.52
  4. Step 4: Simplify right side
    3,022.43x = 7,412,480.14
  5. Step 5: Solve for x
    x = 7,412,480.14/3,022.43
  6. Step 6: Final answer
    x = 2,452.49

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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.