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Finding the Fourth Proportional to 1,740.37, 2,608.73 and 1,082.24

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Solution

The fourth proportional to 1,740.37, 2,608.73 and 1,082.24 is: 1,622.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.37 : 2,608.73 = 1,082.24 : x
  2. Step 2: Convert to fraction form
    1,740.37/2,608.73 = 1,082.24/x
  3. Step 3: Cross multiply
    1,740.37x = 2,608.73 × 1,082.24
  4. Step 4: Simplify right side
    1,740.37x = 2,823,266.54
  5. Step 5: Solve for x
    x = 2,823,266.54/1,740.37
  6. Step 6: Final answer
    x = 1,622.23

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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.