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Finding the Fourth Proportional to 1,982.72, 2,971.73 and 812.00

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Solution

The fourth proportional to 1,982.72, 2,971.73 and 812.00 is: 1,217.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.72 : 2,971.73 = 812.00 : x
  2. Step 2: Convert to fraction form
    1,982.72/2,971.73 = 812.00/x
  3. Step 3: Cross multiply
    1,982.72x = 2,971.73 × 812.00
  4. Step 4: Simplify right side
    1,982.72x = 2,413,025.84
  5. Step 5: Solve for x
    x = 2,413,025.84/1,982.72
  6. Step 6: Final answer
    x = 1,217.03

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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.