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Finding the Fourth Proportional to 1,761.30, 2,640.96 and 722.03

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Solution

The fourth proportional to 1,761.30, 2,640.96 and 722.03 is: 1,082.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.30 : 2,640.96 = 722.03 : x
  2. Step 2: Convert to fraction form
    1,761.30/2,640.96 = 722.03/x
  3. Step 3: Cross multiply
    1,761.30x = 2,640.96 × 722.03
  4. Step 4: Simplify right side
    1,761.30x = 1,906,839.14
  5. Step 5: Solve for x
    x = 1,906,839.14/1,761.30
  6. Step 6: Final answer
    x = 1,082.63

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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.