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Finding the Fourth Proportional to 1,226.94, 1,691.19 and 1,121.82

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Solution

The fourth proportional to 1,226.94, 1,691.19 and 1,121.82 is: 1,546.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.94 : 1,691.19 = 1,121.82 : x
  2. Step 2: Convert to fraction form
    1,226.94/1,691.19 = 1,121.82/x
  3. Step 3: Cross multiply
    1,226.94x = 1,691.19 × 1,121.82
  4. Step 4: Simplify right side
    1,226.94x = 1,897,210.77
  5. Step 5: Solve for x
    x = 1,897,210.77/1,226.94
  6. Step 6: Final answer
    x = 1,546.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.