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Finding the Fourth Proportional to 3,163.89, 4,366.38 and 1,837.74

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Solution

The fourth proportional to 3,163.89, 4,366.38 and 1,837.74 is: 2,536.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.89 : 4,366.38 = 1,837.74 : x
  2. Step 2: Convert to fraction form
    3,163.89/4,366.38 = 1,837.74/x
  3. Step 3: Cross multiply
    3,163.89x = 4,366.38 × 1,837.74
  4. Step 4: Simplify right side
    3,163.89x = 8,024,271.18
  5. Step 5: Solve for x
    x = 8,024,271.18/3,163.89
  6. Step 6: Final answer
    x = 2,536.20

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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.