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Finding the Fourth Proportional to 3,233.79, 4,843.40 and 2,264.22

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Solution

The fourth proportional to 3,233.79, 4,843.40 and 2,264.22 is: 3,391.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.79 : 4,843.40 = 2,264.22 : x
  2. Step 2: Convert to fraction form
    3,233.79/4,843.40 = 2,264.22/x
  3. Step 3: Cross multiply
    3,233.79x = 4,843.40 × 2,264.22
  4. Step 4: Simplify right side
    3,233.79x = 10,966,511.83
  5. Step 5: Solve for x
    x = 10,966,511.83/3,233.79
  6. Step 6: Final answer
    x = 3,391.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.