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Finding the Fourth Proportional to 1,982.90, 2,972.54 and 812.64

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Solution

The fourth proportional to 1,982.90, 2,972.54 and 812.64 is: 1,218.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.90 : 2,972.54 = 812.64 : x
  2. Step 2: Convert to fraction form
    1,982.90/2,972.54 = 812.64/x
  3. Step 3: Cross multiply
    1,982.90x = 2,972.54 × 812.64
  4. Step 4: Simplify right side
    1,982.90x = 2,415,604.91
  5. Step 5: Solve for x
    x = 2,415,604.91/1,982.90
  6. Step 6: Final answer
    x = 1,218.22

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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.