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Finding the Fourth Proportional to 2,108.52, 3,163.26 and 810.12

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Solution

The fourth proportional to 2,108.52, 3,163.26 and 810.12 is: 1,215.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.52 : 3,163.26 = 810.12 : x
  2. Step 2: Convert to fraction form
    2,108.52/3,163.26 = 810.12/x
  3. Step 3: Cross multiply
    2,108.52x = 3,163.26 × 810.12
  4. Step 4: Simplify right side
    2,108.52x = 2,562,620.19
  5. Step 5: Solve for x
    x = 2,562,620.19/2,108.52
  6. Step 6: Final answer
    x = 1,215.36

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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.