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Finding the Fourth Proportional to 2,108.62, 3,163.29 and 647.62

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Solution

The fourth proportional to 2,108.62, 3,163.29 and 647.62 is: 971.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.62 : 3,163.29 = 647.62 : x
  2. Step 2: Convert to fraction form
    2,108.62/3,163.29 = 647.62/x
  3. Step 3: Cross multiply
    2,108.62x = 3,163.29 × 647.62
  4. Step 4: Simplify right side
    2,108.62x = 2,048,609.87
  5. Step 5: Solve for x
    x = 2,048,609.87/2,108.62
  6. Step 6: Final answer
    x = 971.54

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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.