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Finding the Fourth Proportional to 2,002.01, 3,003.19 and 541.17

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Solution

The fourth proportional to 2,002.01, 3,003.19 and 541.17 is: 811.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.01 : 3,003.19 = 541.17 : x
  2. Step 2: Convert to fraction form
    2,002.01/3,003.19 = 541.17/x
  3. Step 3: Cross multiply
    2,002.01x = 3,003.19 × 541.17
  4. Step 4: Simplify right side
    2,002.01x = 1,625,234.98
  5. Step 5: Solve for x
    x = 1,625,234.98/2,002.01
  6. Step 6: Final answer
    x = 811.80

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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.