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Finding the Fourth Proportional to 3,205.97, 4,424.06 and 1,808.63

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Solution

The fourth proportional to 3,205.97, 4,424.06 and 1,808.63 is: 2,495.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.97 : 4,424.06 = 1,808.63 : x
  2. Step 2: Convert to fraction form
    3,205.97/4,424.06 = 1,808.63/x
  3. Step 3: Cross multiply
    3,205.97x = 4,424.06 × 1,808.63
  4. Step 4: Simplify right side
    3,205.97x = 8,001,456.47
  5. Step 5: Solve for x
    x = 8,001,456.47/3,205.97
  6. Step 6: Final answer
    x = 2,495.80

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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.