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Finding the Fourth Proportional to 2,002.14, 3,003.24 and 541.44

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Solution

The fourth proportional to 2,002.14, 3,003.24 and 541.44 is: 812.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.14 : 3,003.24 = 541.44 : x
  2. Step 2: Convert to fraction form
    2,002.14/3,003.24 = 541.44/x
  3. Step 3: Cross multiply
    2,002.14x = 3,003.24 × 541.44
  4. Step 4: Simplify right side
    2,002.14x = 1,626,074.27
  5. Step 5: Solve for x
    x = 1,626,074.27/2,002.14
  6. Step 6: Final answer
    x = 812.17

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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.