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Finding the Fourth Proportional to 3,016.69, 4,163.23 and 2,023.63

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Solution

The fourth proportional to 3,016.69, 4,163.23 and 2,023.63 is: 2,792.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016.69 : 4,163.23 = 2,023.63 : x
  2. Step 2: Convert to fraction form
    3,016.69/4,163.23 = 2,023.63/x
  3. Step 3: Cross multiply
    3,016.69x = 4,163.23 × 2,023.63
  4. Step 4: Simplify right side
    3,016.69x = 8,424,829.25
  5. Step 5: Solve for x
    x = 8,424,829.25/3,016.69
  6. Step 6: Final answer
    x = 2,792.74

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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.