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Finding the Fourth Proportional to 2,110.13, 3,163.26 and 811.34

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Solution

The fourth proportional to 2,110.13, 3,163.26 and 811.34 is: 1,216.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.13 : 3,163.26 = 811.34 : x
  2. Step 2: Convert to fraction form
    2,110.13/3,163.26 = 811.34/x
  3. Step 3: Cross multiply
    2,110.13x = 3,163.26 × 811.34
  4. Step 4: Simplify right side
    2,110.13x = 2,566,479.37
  5. Step 5: Solve for x
    x = 2,566,479.37/2,110.13
  6. Step 6: Final answer
    x = 1,216.27

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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.