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Finding the Fourth Proportional to 3,131.36, 4,321.34 and 1,734.16

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Solution

The fourth proportional to 3,131.36, 4,321.34 and 1,734.16 is: 2,393.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.36 : 4,321.34 = 1,734.16 : x
  2. Step 2: Convert to fraction form
    3,131.36/4,321.34 = 1,734.16/x
  3. Step 3: Cross multiply
    3,131.36x = 4,321.34 × 1,734.16
  4. Step 4: Simplify right side
    3,131.36x = 7,493,894.97
  5. Step 5: Solve for x
    x = 7,493,894.97/3,131.36
  6. Step 6: Final answer
    x = 2,393.18

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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.