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Finding the Fourth Proportional to 2,976.56, 4,108.14 and 1,797.80

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Solution

The fourth proportional to 2,976.56, 4,108.14 and 1,797.80 is: 2,481.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.56 : 4,108.14 = 1,797.80 : x
  2. Step 2: Convert to fraction form
    2,976.56/4,108.14 = 1,797.80/x
  3. Step 3: Cross multiply
    2,976.56x = 4,108.14 × 1,797.80
  4. Step 4: Simplify right side
    2,976.56x = 7,385,614.09
  5. Step 5: Solve for x
    x = 7,385,614.09/2,976.56
  6. Step 6: Final answer
    x = 2,481.26

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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.