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Finding the Fourth Proportional to 3,131.92, 4,322.10 and 1,734.58

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Solution

The fourth proportional to 3,131.92, 4,322.10 and 1,734.58 is: 2,393.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.92 : 4,322.10 = 1,734.58 : x
  2. Step 2: Convert to fraction form
    3,131.92/4,322.10 = 1,734.58/x
  3. Step 3: Cross multiply
    3,131.92x = 4,322.10 × 1,734.58
  4. Step 4: Simplify right side
    3,131.92x = 7,497,028.22
  5. Step 5: Solve for x
    x = 7,497,028.22/3,131.92
  6. Step 6: Final answer
    x = 2,393.75

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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.