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Finding the Fourth Proportional to 2,996.38, 4,136.07 and 2,157.58

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Solution

The fourth proportional to 2,996.38, 4,136.07 and 2,157.58 is: 2,978.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.38 : 4,136.07 = 2,157.58 : x
  2. Step 2: Convert to fraction form
    2,996.38/4,136.07 = 2,157.58/x
  3. Step 3: Cross multiply
    2,996.38x = 4,136.07 × 2,157.58
  4. Step 4: Simplify right side
    2,996.38x = 8,923,901.91
  5. Step 5: Solve for x
    x = 8,923,901.91/2,996.38
  6. Step 6: Final answer
    x = 2,978.23

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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.