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Finding the Fourth Proportional to 2,002.27, 3,003 and 541.57

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Solution

The fourth proportional to 2,002.27, 3,003 and 541.57 is: 812.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.27 : 3,003 = 541.57 : x
  2. Step 2: Convert to fraction form
    2,002.27/3,003 = 541.57/x
  3. Step 3: Cross multiply
    2,002.27x = 3,003 × 541.57
  4. Step 4: Simplify right side
    2,002.27x = 1,626,334.71
  5. Step 5: Solve for x
    x = 1,626,334.71/2,002.27
  6. Step 6: Final answer
    x = 812.25

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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.