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Finding the Fourth Proportional to 3,163.39, 4,364.64 and 1,836.81

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Solution

The fourth proportional to 3,163.39, 4,364.64 and 1,836.81 is: 2,534.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.39 : 4,364.64 = 1,836.81 : x
  2. Step 2: Convert to fraction form
    3,163.39/4,364.64 = 1,836.81/x
  3. Step 3: Cross multiply
    3,163.39x = 4,364.64 × 1,836.81
  4. Step 4: Simplify right side
    3,163.39x = 8,017,014.40
  5. Step 5: Solve for x
    x = 8,017,014.40/3,163.39
  6. Step 6: Final answer
    x = 2,534.31

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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.