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Finding the Fourth Proportional to 2,137.57, 3,207.38 and 1,163.67

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Solution

The fourth proportional to 2,137.57, 3,207.38 and 1,163.67 is: 1,746.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.57 : 3,207.38 = 1,163.67 : x
  2. Step 2: Convert to fraction form
    2,137.57/3,207.38 = 1,163.67/x
  3. Step 3: Cross multiply
    2,137.57x = 3,207.38 × 1,163.67
  4. Step 4: Simplify right side
    2,137.57x = 3,732,331.88
  5. Step 5: Solve for x
    x = 3,732,331.88/2,137.57
  6. Step 6: Final answer
    x = 1,746.06

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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.