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Finding the Fourth Proportional to 3,131.60, 4,698.20 and 1,183.82

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Solution

The fourth proportional to 3,131.60, 4,698.20 and 1,183.82 is: 1,776.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.60 : 4,698.20 = 1,183.82 : x
  2. Step 2: Convert to fraction form
    3,131.60/4,698.20 = 1,183.82/x
  3. Step 3: Cross multiply
    3,131.60x = 4,698.20 × 1,183.82
  4. Step 4: Simplify right side
    3,131.60x = 5,561,823.12
  5. Step 5: Solve for x
    x = 5,561,823.12/3,131.60
  6. Step 6: Final answer
    x = 1,776.03

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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.