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Finding the Fourth Proportional to 3,034.57, 4,551.82 and 843.22

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Solution

The fourth proportional to 3,034.57, 4,551.82 and 843.22 is: 1,264.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.57 : 4,551.82 = 843.22 : x
  2. Step 2: Convert to fraction form
    3,034.57/4,551.82 = 843.22/x
  3. Step 3: Cross multiply
    3,034.57x = 4,551.82 × 843.22
  4. Step 4: Simplify right side
    3,034.57x = 3,838,185.66
  5. Step 5: Solve for x
    x = 3,838,185.66/3,034.57
  6. Step 6: Final answer
    x = 1,264.82

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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.