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Finding the Fourth Proportional to 2,960.78, 4,441.41 and 1,728.32

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Solution

The fourth proportional to 2,960.78, 4,441.41 and 1,728.32 is: 2,592.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.78 : 4,441.41 = 1,728.32 : x
  2. Step 2: Convert to fraction form
    2,960.78/4,441.41 = 1,728.32/x
  3. Step 3: Cross multiply
    2,960.78x = 4,441.41 × 1,728.32
  4. Step 4: Simplify right side
    2,960.78x = 7,676,177.73
  5. Step 5: Solve for x
    x = 7,676,177.73/2,960.78
  6. Step 6: Final answer
    x = 2,592.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.