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Finding the Fourth Proportional to 3,022.97, 4,536.50 and 1,150.52

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Solution

The fourth proportional to 3,022.97, 4,536.50 and 1,150.52 is: 1,726.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.97 : 4,536.50 = 1,150.52 : x
  2. Step 2: Convert to fraction form
    3,022.97/4,536.50 = 1,150.52/x
  3. Step 3: Cross multiply
    3,022.97x = 4,536.50 × 1,150.52
  4. Step 4: Simplify right side
    3,022.97x = 5,219,305.54
  5. Step 5: Solve for x
    x = 5,219,305.54/3,022.97
  6. Step 6: Final answer
    x = 1,726.55

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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.