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Finding the Fourth Proportional to 3,194.44, 4,792.48 and 1,114.45

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Solution

The fourth proportional to 3,194.44, 4,792.48 and 1,114.45 is: 1,671.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.44 : 4,792.48 = 1,114.45 : x
  2. Step 2: Convert to fraction form
    3,194.44/4,792.48 = 1,114.45/x
  3. Step 3: Cross multiply
    3,194.44x = 4,792.48 × 1,114.45
  4. Step 4: Simplify right side
    3,194.44x = 5,340,993.25
  5. Step 5: Solve for x
    x = 5,340,993.25/3,194.44
  6. Step 6: Final answer
    x = 1,671.97

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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.