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Finding the Fourth Proportional to 3,131.75, 4,697.63 and 1,183.95

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Solution

The fourth proportional to 3,131.75, 4,697.63 and 1,183.95 is: 1,775.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.75 : 4,697.63 = 1,183.95 : x
  2. Step 2: Convert to fraction form
    3,131.75/4,697.63 = 1,183.95/x
  3. Step 3: Cross multiply
    3,131.75x = 4,697.63 × 1,183.95
  4. Step 4: Simplify right side
    3,131.75x = 5,561,753.12
  5. Step 5: Solve for x
    x = 5,561,753.12/3,131.75
  6. Step 6: Final answer
    x = 1,775.93

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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.