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Finding the Fourth Proportional to 3,163.31, 4,365.38 and 1,766.06

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Solution

The fourth proportional to 3,163.31, 4,365.38 and 1,766.06 is: 2,437.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.31 : 4,365.38 = 1,766.06 : x
  2. Step 2: Convert to fraction form
    3,163.31/4,365.38 = 1,766.06/x
  3. Step 3: Cross multiply
    3,163.31x = 4,365.38 × 1,766.06
  4. Step 4: Simplify right side
    3,163.31x = 7,709,525.09
  5. Step 5: Solve for x
    x = 7,709,525.09/3,163.31
  6. Step 6: Final answer
    x = 2,437.17

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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.