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Finding the Fourth Proportional to 3,192.67, 4,790.22 and 1,112.93

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Solution

The fourth proportional to 3,192.67, 4,790.22 and 1,112.93 is: 1,669.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.67 : 4,790.22 = 1,112.93 : x
  2. Step 2: Convert to fraction form
    3,192.67/4,790.22 = 1,112.93/x
  3. Step 3: Cross multiply
    3,192.67x = 4,790.22 × 1,112.93
  4. Step 4: Simplify right side
    3,192.67x = 5,331,179.54
  5. Step 5: Solve for x
    x = 5,331,179.54/3,192.67
  6. Step 6: Final answer
    x = 1,669.82

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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.