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Finding the Fourth Proportional to 3,046.96, 4,569.36 and 1,198

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Solution

The fourth proportional to 3,046.96, 4,569.36 and 1,198 is: 1,796.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.96 : 4,569.36 = 1,198 : x
  2. Step 2: Convert to fraction form
    3,046.96/4,569.36 = 1,198/x
  3. Step 3: Cross multiply
    3,046.96x = 4,569.36 × 1,198
  4. Step 4: Simplify right side
    3,046.96x = 5,474,093.28
  5. Step 5: Solve for x
    x = 5,474,093.28/3,046.96
  6. Step 6: Final answer
    x = 1,796.58

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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.