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Finding the Fourth Proportional to 1,633.11, 2,449.94 and 811.41

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Solution

The fourth proportional to 1,633.11, 2,449.94 and 811.41 is: 1,217.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.11 : 2,449.94 = 811.41 : x
  2. Step 2: Convert to fraction form
    1,633.11/2,449.94 = 811.41/x
  3. Step 3: Cross multiply
    1,633.11x = 2,449.94 × 811.41
  4. Step 4: Simplify right side
    1,633.11x = 1,987,901.76
  5. Step 5: Solve for x
    x = 1,987,901.76/1,633.11
  6. Step 6: Final answer
    x = 1,217.25

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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.