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Finding the Fourth Proportional to 2,002.47, 3,003.56 and 541.59

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Solution

The fourth proportional to 2,002.47, 3,003.56 and 541.59 is: 812.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.47 : 3,003.56 = 541.59 : x
  2. Step 2: Convert to fraction form
    2,002.47/3,003.56 = 541.59/x
  3. Step 3: Cross multiply
    2,002.47x = 3,003.56 × 541.59
  4. Step 4: Simplify right side
    2,002.47x = 1,626,684.60
  5. Step 5: Solve for x
    x = 1,626,684.60/2,002.47
  6. Step 6: Final answer
    x = 812.34

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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.