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Finding the Fourth Proportional to 2,112.66, 3,169.89 and 813.82

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Solution

The fourth proportional to 2,112.66, 3,169.89 and 813.82 is: 1,221.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.66 : 3,169.89 = 813.82 : x
  2. Step 2: Convert to fraction form
    2,112.66/3,169.89 = 813.82/x
  3. Step 3: Cross multiply
    2,112.66x = 3,169.89 × 813.82
  4. Step 4: Simplify right side
    2,112.66x = 2,579,719.88
  5. Step 5: Solve for x
    x = 2,579,719.88/2,112.66
  6. Step 6: Final answer
    x = 1,221.08

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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.