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Finding the Fourth Proportional to 2,002.65, 3,004.13 and 541.78

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Solution

The fourth proportional to 2,002.65, 3,004.13 and 541.78 is: 812.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.65 : 3,004.13 = 541.78 : x
  2. Step 2: Convert to fraction form
    2,002.65/3,004.13 = 541.78/x
  3. Step 3: Cross multiply
    2,002.65x = 3,004.13 × 541.78
  4. Step 4: Simplify right side
    2,002.65x = 1,627,577.55
  5. Step 5: Solve for x
    x = 1,627,577.55/2,002.65
  6. Step 6: Final answer
    x = 812.71

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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.