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Finding the Fourth Proportional to 2,533.27, 3,796.80 and 2,071.98

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Solution

The fourth proportional to 2,533.27, 3,796.80 and 2,071.98 is: 3,105.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.27 : 3,796.80 = 2,071.98 : x
  2. Step 2: Convert to fraction form
    2,533.27/3,796.80 = 2,071.98/x
  3. Step 3: Cross multiply
    2,533.27x = 3,796.80 × 2,071.98
  4. Step 4: Simplify right side
    2,533.27x = 7,866,893.66
  5. Step 5: Solve for x
    x = 7,866,893.66/2,533.27
  6. Step 6: Final answer
    x = 3,105.43

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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.