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Finding the Fourth Proportional to 1,195.73, 1,790.82 and 1,162.94

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Solution

The fourth proportional to 1,195.73, 1,790.82 and 1,162.94 is: 1,741.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.73 : 1,790.82 = 1,162.94 : x
  2. Step 2: Convert to fraction form
    1,195.73/1,790.82 = 1,162.94/x
  3. Step 3: Cross multiply
    1,195.73x = 1,790.82 × 1,162.94
  4. Step 4: Simplify right side
    1,195.73x = 2,082,616.21
  5. Step 5: Solve for x
    x = 2,082,616.21/1,195.73
  6. Step 6: Final answer
    x = 1,741.71

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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.