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Finding the Fourth Proportional to 2,960.30, 4,444.82 and 1,979.24

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Solution

The fourth proportional to 2,960.30, 4,444.82 and 1,979.24 is: 2,971.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.30 : 4,444.82 = 1,979.24 : x
  2. Step 2: Convert to fraction form
    2,960.30/4,444.82 = 1,979.24/x
  3. Step 3: Cross multiply
    2,960.30x = 4,444.82 × 1,979.24
  4. Step 4: Simplify right side
    2,960.30x = 8,797,348.26
  5. Step 5: Solve for x
    x = 8,797,348.26/2,960.30
  6. Step 6: Final answer
    x = 2,971.78

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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.