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Finding the Fourth Proportional to 3,072.97, 4,240.75 and 1,728.61

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Solution

The fourth proportional to 3,072.97, 4,240.75 and 1,728.61 is: 2,385.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.97 : 4,240.75 = 1,728.61 : x
  2. Step 2: Convert to fraction form
    3,072.97/4,240.75 = 1,728.61/x
  3. Step 3: Cross multiply
    3,072.97x = 4,240.75 × 1,728.61
  4. Step 4: Simplify right side
    3,072.97x = 7,330,594.42
  5. Step 5: Solve for x
    x = 7,330,594.42/3,072.97
  6. Step 6: Final answer
    x = 2,385.51

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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.