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Finding the Fourth Proportional to 1,162.23, 1,735.03 and 1,121.73

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Solution

The fourth proportional to 1,162.23, 1,735.03 and 1,121.73 is: 1,674.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.23 : 1,735.03 = 1,121.73 : x
  2. Step 2: Convert to fraction form
    1,162.23/1,735.03 = 1,121.73/x
  3. Step 3: Cross multiply
    1,162.23x = 1,735.03 × 1,121.73
  4. Step 4: Simplify right side
    1,162.23x = 1,946,235.20
  5. Step 5: Solve for x
    x = 1,946,235.20/1,162.23
  6. Step 6: Final answer
    x = 1,674.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.