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Finding the Fourth Proportional to 2,755.24, 3,802.23 and 1,496.29

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Solution

The fourth proportional to 2,755.24, 3,802.23 and 1,496.29 is: 2,064.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.24 : 3,802.23 = 1,496.29 : x
  2. Step 2: Convert to fraction form
    2,755.24/3,802.23 = 1,496.29/x
  3. Step 3: Cross multiply
    2,755.24x = 3,802.23 × 1,496.29
  4. Step 4: Simplify right side
    2,755.24x = 5,689,229.22
  5. Step 5: Solve for x
    x = 5,689,229.22/2,755.24
  6. Step 6: Final answer
    x = 2,064.88

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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.