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Finding the Fourth Proportional to 3,205.62, 4,424.34 and 2,027.34

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Solution

The fourth proportional to 3,205.62, 4,424.34 and 2,027.34 is: 2,798.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.62 : 4,424.34 = 2,027.34 : x
  2. Step 2: Convert to fraction form
    3,205.62/4,424.34 = 2,027.34/x
  3. Step 3: Cross multiply
    3,205.62x = 4,424.34 × 2,027.34
  4. Step 4: Simplify right side
    3,205.62x = 8,969,641.46
  5. Step 5: Solve for x
    x = 8,969,641.46/3,205.62
  6. Step 6: Final answer
    x = 2,798.10

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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.