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Finding the Fourth Proportional to 2,755.29, 3,802.19 and 1,496.32

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Solution

The fourth proportional to 2,755.29, 3,802.19 and 1,496.32 is: 2,064.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.29 : 3,802.19 = 1,496.32 : x
  2. Step 2: Convert to fraction form
    2,755.29/3,802.19 = 1,496.32/x
  3. Step 3: Cross multiply
    2,755.29x = 3,802.19 × 1,496.32
  4. Step 4: Simplify right side
    2,755.29x = 5,689,288.58
  5. Step 5: Solve for x
    x = 5,689,288.58/2,755.29
  6. Step 6: Final answer
    x = 2,064.86

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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.