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Finding the Fourth Proportional to 2,461.50, 3,693.87 and 1,163.07

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Solution

The fourth proportional to 2,461.50, 3,693.87 and 1,163.07 is: 1,745.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.50 : 3,693.87 = 1,163.07 : x
  2. Step 2: Convert to fraction form
    2,461.50/3,693.87 = 1,163.07/x
  3. Step 3: Cross multiply
    2,461.50x = 3,693.87 × 1,163.07
  4. Step 4: Simplify right side
    2,461.50x = 4,296,229.38
  5. Step 5: Solve for x
    x = 4,296,229.38/2,461.50
  6. Step 6: Final answer
    x = 1,745.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.