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Finding the Fourth Proportional to 2,180.52, 3,272.20 and 812.52

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Solution

The fourth proportional to 2,180.52, 3,272.20 and 812.52 is: 1,219.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.52 : 3,272.20 = 812.52 : x
  2. Step 2: Convert to fraction form
    2,180.52/3,272.20 = 812.52/x
  3. Step 3: Cross multiply
    2,180.52x = 3,272.20 × 812.52
  4. Step 4: Simplify right side
    2,180.52x = 2,658,727.94
  5. Step 5: Solve for x
    x = 2,658,727.94/2,180.52
  6. Step 6: Final answer
    x = 1,219.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.