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Finding the Fourth Proportional to 3,131.94, 4,322.02 and 1,734.66

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Solution

The fourth proportional to 3,131.94, 4,322.02 and 1,734.66 is: 2,393.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.94 : 4,322.02 = 1,734.66 : x
  2. Step 2: Convert to fraction form
    3,131.94/4,322.02 = 1,734.66/x
  3. Step 3: Cross multiply
    3,131.94x = 4,322.02 × 1,734.66
  4. Step 4: Simplify right side
    3,131.94x = 7,497,209.27
  5. Step 5: Solve for x
    x = 7,497,209.27/3,131.94
  6. Step 6: Final answer
    x = 2,393.79

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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.