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Finding the Fourth Proportional to 2,976.82, 4,108.12 and 1,797.66

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Solution

The fourth proportional to 2,976.82, 4,108.12 and 1,797.66 is: 2,480.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.82 : 4,108.12 = 1,797.66 : x
  2. Step 2: Convert to fraction form
    2,976.82/4,108.12 = 1,797.66/x
  3. Step 3: Cross multiply
    2,976.82x = 4,108.12 × 1,797.66
  4. Step 4: Simplify right side
    2,976.82x = 7,384,998.51
  5. Step 5: Solve for x
    x = 7,384,998.51/2,976.82
  6. Step 6: Final answer
    x = 2,480.84

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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.