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Finding the Fourth Proportional to 2,976, 4,108.92 and 1,982.40

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Solution

The fourth proportional to 2,976, 4,108.92 and 1,982.40 is: 2,737.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976 : 4,108.92 = 1,982.40 : x
  2. Step 2: Convert to fraction form
    2,976/4,108.92 = 1,982.40/x
  3. Step 3: Cross multiply
    2,976x = 4,108.92 × 1,982.40
  4. Step 4: Simplify right side
    2,976x = 8,145,523.01
  5. Step 5: Solve for x
    x = 8,145,523.01/2,976
  6. Step 6: Final answer
    x = 2,737.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.