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Finding the Fourth Proportional to 2,110.72, 3,163.52 and 811.36

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Solution

The fourth proportional to 2,110.72, 3,163.52 and 811.36 is: 1,216.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.72 : 3,163.52 = 811.36 : x
  2. Step 2: Convert to fraction form
    2,110.72/3,163.52 = 811.36/x
  3. Step 3: Cross multiply
    2,110.72x = 3,163.52 × 811.36
  4. Step 4: Simplify right side
    2,110.72x = 2,566,753.59
  5. Step 5: Solve for x
    x = 2,566,753.59/2,110.72
  6. Step 6: Final answer
    x = 1,216.06

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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.