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Finding the Fourth Proportional to 2,755.26, 3,802.26 and 1,496.31

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Solution

The fourth proportional to 2,755.26, 3,802.26 and 1,496.31 is: 2,064.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.26 : 3,802.26 = 1,496.31 : x
  2. Step 2: Convert to fraction form
    2,755.26/3,802.26 = 1,496.31/x
  3. Step 3: Cross multiply
    2,755.26x = 3,802.26 × 1,496.31
  4. Step 4: Simplify right side
    2,755.26x = 5,689,359.66
  5. Step 5: Solve for x
    x = 5,689,359.66/2,755.26
  6. Step 6: Final answer
    x = 2,064.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.