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Finding the Fourth Proportional to 3,163.19, 4,364.82 and 1,836.68

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Solution

The fourth proportional to 3,163.19, 4,364.82 and 1,836.68 is: 2,534.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.19 : 4,364.82 = 1,836.68 : x
  2. Step 2: Convert to fraction form
    3,163.19/4,364.82 = 1,836.68/x
  3. Step 3: Cross multiply
    3,163.19x = 4,364.82 × 1,836.68
  4. Step 4: Simplify right side
    3,163.19x = 8,016,755.77
  5. Step 5: Solve for x
    x = 8,016,755.77/3,163.19
  6. Step 6: Final answer
    x = 2,534.39

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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.