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Finding the Fourth Proportional to 3,131.51, 4,321.49 and 1,734.26

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Solution

The fourth proportional to 3,131.51, 4,321.49 and 1,734.26 is: 2,393.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.51 : 4,321.49 = 1,734.26 : x
  2. Step 2: Convert to fraction form
    3,131.51/4,321.49 = 1,734.26/x
  3. Step 3: Cross multiply
    3,131.51x = 4,321.49 × 1,734.26
  4. Step 4: Simplify right side
    3,131.51x = 7,494,556.97
  5. Step 5: Solve for x
    x = 7,494,556.97/3,131.51
  6. Step 6: Final answer
    x = 2,393.28

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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.