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Finding the Fourth Proportional to 1,829.76, 2,745.06 and 531.18

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Solution

The fourth proportional to 1,829.76, 2,745.06 and 531.18 is: 796.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.76 : 2,745.06 = 531.18 : x
  2. Step 2: Convert to fraction form
    1,829.76/2,745.06 = 531.18/x
  3. Step 3: Cross multiply
    1,829.76x = 2,745.06 × 531.18
  4. Step 4: Simplify right side
    1,829.76x = 1,458,120.97
  5. Step 5: Solve for x
    x = 1,458,120.97/1,829.76
  6. Step 6: Final answer
    x = 796.89

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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.