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Finding the Fourth Proportional to 2,002.24, 3,003.25 and 541.29

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Solution

The fourth proportional to 2,002.24, 3,003.25 and 541.29 is: 811.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.24 : 3,003.25 = 541.29 : x
  2. Step 2: Convert to fraction form
    2,002.24/3,003.25 = 541.29/x
  3. Step 3: Cross multiply
    2,002.24x = 3,003.25 × 541.29
  4. Step 4: Simplify right side
    2,002.24x = 1,625,612.82
  5. Step 5: Solve for x
    x = 1,625,612.82/2,002.24
  6. Step 6: Final answer
    x = 811.90

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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.