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Finding the Fourth Proportional to 2,764.32, 3,816.18 and 2,133.44

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Solution

The fourth proportional to 2,764.32, 3,816.18 and 2,133.44 is: 2,945.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.32 : 3,816.18 = 2,133.44 : x
  2. Step 2: Convert to fraction form
    2,764.32/3,816.18 = 2,133.44/x
  3. Step 3: Cross multiply
    2,764.32x = 3,816.18 × 2,133.44
  4. Step 4: Simplify right side
    2,764.32x = 8,141,571.98
  5. Step 5: Solve for x
    x = 8,141,571.98/2,764.32
  6. Step 6: Final answer
    x = 2,945.23

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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.