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Finding the Fourth Proportional to 3,193.88, 4,792.37 and 1,112.96

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Solution

The fourth proportional to 3,193.88, 4,792.37 and 1,112.96 is: 1,669.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.88 : 4,792.37 = 1,112.96 : x
  2. Step 2: Convert to fraction form
    3,193.88/4,792.37 = 1,112.96/x
  3. Step 3: Cross multiply
    3,193.88x = 4,792.37 × 1,112.96
  4. Step 4: Simplify right side
    3,193.88x = 5,333,695.57
  5. Step 5: Solve for x
    x = 5,333,695.57/3,193.88
  6. Step 6: Final answer
    x = 1,669.97

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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.