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Finding the Fourth Proportional to 2,112.39, 3,168.18 and 813.69

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Solution

The fourth proportional to 2,112.39, 3,168.18 and 813.69 is: 1,220.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.39 : 3,168.18 = 813.69 : x
  2. Step 2: Convert to fraction form
    2,112.39/3,168.18 = 813.69/x
  3. Step 3: Cross multiply
    2,112.39x = 3,168.18 × 813.69
  4. Step 4: Simplify right side
    2,112.39x = 2,577,916.38
  5. Step 5: Solve for x
    x = 2,577,916.38/2,112.39
  6. Step 6: Final answer
    x = 1,220.38

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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.