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Finding the Fourth Proportional to 2,072.82, 3,109.26 and 533.82

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Solution

The fourth proportional to 2,072.82, 3,109.26 and 533.82 is: 800.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.82 : 3,109.26 = 533.82 : x
  2. Step 2: Convert to fraction form
    2,072.82/3,109.26 = 533.82/x
  3. Step 3: Cross multiply
    2,072.82x = 3,109.26 × 533.82
  4. Step 4: Simplify right side
    2,072.82x = 1,659,785.17
  5. Step 5: Solve for x
    x = 1,659,785.17/2,072.82
  6. Step 6: Final answer
    x = 800.74

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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.