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Finding the Fourth Proportional to 3,233.98, 4,843.67 and 2,264.41

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Solution

The fourth proportional to 3,233.98, 4,843.67 and 2,264.41 is: 3,391.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.98 : 4,843.67 = 2,264.41 : x
  2. Step 2: Convert to fraction form
    3,233.98/4,843.67 = 2,264.41/x
  3. Step 3: Cross multiply
    3,233.98x = 4,843.67 × 2,264.41
  4. Step 4: Simplify right side
    3,233.98x = 10,968,048.34
  5. Step 5: Solve for x
    x = 10,968,048.34/3,233.98
  6. Step 6: Final answer
    x = 3,391.50

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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.