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Finding the Fourth Proportional to 3,183.66, 4,774.65 and 991.26

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Solution

The fourth proportional to 3,183.66, 4,774.65 and 991.26 is: 1,486.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.66 : 4,774.65 = 991.26 : x
  2. Step 2: Convert to fraction form
    3,183.66/4,774.65 = 991.26/x
  3. Step 3: Cross multiply
    3,183.66x = 4,774.65 × 991.26
  4. Step 4: Simplify right side
    3,183.66x = 4,732,919.56
  5. Step 5: Solve for x
    x = 4,732,919.56/3,183.66
  6. Step 6: Final answer
    x = 1,486.63

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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.