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Finding the Fourth Proportional to 3,310.83, 4,568.49 and 1,983.87

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Solution

The fourth proportional to 3,310.83, 4,568.49 and 1,983.87 is: 2,737.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.83 : 4,568.49 = 1,983.87 : x
  2. Step 2: Convert to fraction form
    3,310.83/4,568.49 = 1,983.87/x
  3. Step 3: Cross multiply
    3,310.83x = 4,568.49 × 1,983.87
  4. Step 4: Simplify right side
    3,310.83x = 9,063,290.26
  5. Step 5: Solve for x
    x = 9,063,290.26/3,310.83
  6. Step 6: Final answer
    x = 2,737.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.