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Finding the Fourth Proportional to 3,163.38, 4,366.08 and 1,837.02

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Solution

The fourth proportional to 3,163.38, 4,366.08 and 1,837.02 is: 2,535.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.38 : 4,366.08 = 1,837.02 : x
  2. Step 2: Convert to fraction form
    3,163.38/4,366.08 = 1,837.02/x
  3. Step 3: Cross multiply
    3,163.38x = 4,366.08 × 1,837.02
  4. Step 4: Simplify right side
    3,163.38x = 8,020,576.28
  5. Step 5: Solve for x
    x = 8,020,576.28/3,163.38
  6. Step 6: Final answer
    x = 2,535.45

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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.