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Finding the Fourth Proportional to 3,046.14, 4,569.14 and 1,195.92

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Solution

The fourth proportional to 3,046.14, 4,569.14 and 1,195.92 is: 1,793.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.14 : 4,569.14 = 1,195.92 : x
  2. Step 2: Convert to fraction form
    3,046.14/4,569.14 = 1,195.92/x
  3. Step 3: Cross multiply
    3,046.14x = 4,569.14 × 1,195.92
  4. Step 4: Simplify right side
    3,046.14x = 5,464,328.90
  5. Step 5: Solve for x
    x = 5,464,328.90/3,046.14
  6. Step 6: Final answer
    x = 1,793.85

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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.