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Finding the Fourth Proportional to 3,183.23, 4,774.82 and 991.95

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Solution

The fourth proportional to 3,183.23, 4,774.82 and 991.95 is: 1,487.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.23 : 4,774.82 = 991.95 : x
  2. Step 2: Convert to fraction form
    3,183.23/4,774.82 = 991.95/x
  3. Step 3: Cross multiply
    3,183.23x = 4,774.82 × 991.95
  4. Step 4: Simplify right side
    3,183.23x = 4,736,377.74
  5. Step 5: Solve for x
    x = 4,736,377.74/3,183.23
  6. Step 6: Final answer
    x = 1,487.92

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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.