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Finding the Fourth Proportional to 3,105.99, 4,658.97 and 1,131.63

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Solution

The fourth proportional to 3,105.99, 4,658.97 and 1,131.63 is: 1,697.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.99 : 4,658.97 = 1,131.63 : x
  2. Step 2: Convert to fraction form
    3,105.99/4,658.97 = 1,131.63/x
  3. Step 3: Cross multiply
    3,105.99x = 4,658.97 × 1,131.63
  4. Step 4: Simplify right side
    3,105.99x = 5,272,230.22
  5. Step 5: Solve for x
    x = 5,272,230.22/3,105.99
  6. Step 6: Final answer
    x = 1,697.44

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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.