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Finding the Fourth Proportional to 1,982.28, 2,971.56 and 812.25

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Solution

The fourth proportional to 1,982.28, 2,971.56 and 812.25 is: 1,217.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.28 : 2,971.56 = 812.25 : x
  2. Step 2: Convert to fraction form
    1,982.28/2,971.56 = 812.25/x
  3. Step 3: Cross multiply
    1,982.28x = 2,971.56 × 812.25
  4. Step 4: Simplify right side
    1,982.28x = 2,413,649.61
  5. Step 5: Solve for x
    x = 2,413,649.61/1,982.28
  6. Step 6: Final answer
    x = 1,217.61

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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.