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Finding the Fourth Proportional to 3,163.69, 4,365.90 and 1,838.17

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Solution

The fourth proportional to 3,163.69, 4,365.90 and 1,838.17 is: 2,536.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.69 : 4,365.90 = 1,838.17 : x
  2. Step 2: Convert to fraction form
    3,163.69/4,365.90 = 1,838.17/x
  3. Step 3: Cross multiply
    3,163.69x = 4,365.90 × 1,838.17
  4. Step 4: Simplify right side
    3,163.69x = 8,025,266.40
  5. Step 5: Solve for x
    x = 8,025,266.40/3,163.69
  6. Step 6: Final answer
    x = 2,536.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.