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Finding the Fourth Proportional to 2,997.66, 4,136.01 and 2,002.26

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Solution

The fourth proportional to 2,997.66, 4,136.01 and 2,002.26 is: 2,762.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.66 : 4,136.01 = 2,002.26 : x
  2. Step 2: Convert to fraction form
    2,997.66/4,136.01 = 2,002.26/x
  3. Step 3: Cross multiply
    2,997.66x = 4,136.01 × 2,002.26
  4. Step 4: Simplify right side
    2,997.66x = 8,281,367.38
  5. Step 5: Solve for x
    x = 8,281,367.38/2,997.66
  6. Step 6: Final answer
    x = 2,762.61

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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.