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Finding the Fourth Proportional to 2,764.28, 3,810.96 and 1,976.96

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Solution

The fourth proportional to 2,764.28, 3,810.96 and 1,976.96 is: 2,725.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.28 : 3,810.96 = 1,976.96 : x
  2. Step 2: Convert to fraction form
    2,764.28/3,810.96 = 1,976.96/x
  3. Step 3: Cross multiply
    2,764.28x = 3,810.96 × 1,976.96
  4. Step 4: Simplify right side
    2,764.28x = 7,534,115.48
  5. Step 5: Solve for x
    x = 7,534,115.48/2,764.28
  6. Step 6: Final answer
    x = 2,725.53

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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.