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Finding the Fourth Proportional to 3,132.81, 4,697.76 and 1,183.77

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Solution

The fourth proportional to 3,132.81, 4,697.76 and 1,183.77 is: 1,775.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.81 : 4,697.76 = 1,183.77 : x
  2. Step 2: Convert to fraction form
    3,132.81/4,697.76 = 1,183.77/x
  3. Step 3: Cross multiply
    3,132.81x = 4,697.76 × 1,183.77
  4. Step 4: Simplify right side
    3,132.81x = 5,561,067.36
  5. Step 5: Solve for x
    x = 5,561,067.36/3,132.81
  6. Step 6: Final answer
    x = 1,775.11

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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.