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Finding the Fourth Proportional to 2,110.38, 3,163.44 and 878.47

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Solution

The fourth proportional to 2,110.38, 3,163.44 and 878.47 is: 1,316.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.38 : 3,163.44 = 878.47 : x
  2. Step 2: Convert to fraction form
    2,110.38/3,163.44 = 878.47/x
  3. Step 3: Cross multiply
    2,110.38x = 3,163.44 × 878.47
  4. Step 4: Simplify right side
    2,110.38x = 2,778,987.14
  5. Step 5: Solve for x
    x = 2,778,987.14/2,110.38
  6. Step 6: Final answer
    x = 1,316.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.