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Finding the Fourth Proportional to 1,829.74, 2,745 and 531.22

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Solution

The fourth proportional to 1,829.74, 2,745 and 531.22 is: 796.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.74 : 2,745 = 531.22 : x
  2. Step 2: Convert to fraction form
    1,829.74/2,745 = 531.22/x
  3. Step 3: Cross multiply
    1,829.74x = 2,745 × 531.22
  4. Step 4: Simplify right side
    1,829.74x = 1,458,198.90
  5. Step 5: Solve for x
    x = 1,458,198.90/1,829.74
  6. Step 6: Final answer
    x = 796.94

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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.