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Finding the Fourth Proportional to 1,222.86, 1,676.55 and 1,191.87

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Solution

The fourth proportional to 1,222.86, 1,676.55 and 1,191.87 is: 1,634.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.86 : 1,676.55 = 1,191.87 : x
  2. Step 2: Convert to fraction form
    1,222.86/1,676.55 = 1,191.87/x
  3. Step 3: Cross multiply
    1,222.86x = 1,676.55 × 1,191.87
  4. Step 4: Simplify right side
    1,222.86x = 1,998,229.65
  5. Step 5: Solve for x
    x = 1,998,229.65/1,222.86
  6. Step 6: Final answer
    x = 1,634.06

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.