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Finding the Fourth Proportional to 3,205.22, 4,423.30 and 1,808.30

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Solution

The fourth proportional to 3,205.22, 4,423.30 and 1,808.30 is: 2,495.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.22 : 4,423.30 = 1,808.30 : x
  2. Step 2: Convert to fraction form
    3,205.22/4,423.30 = 1,808.30/x
  3. Step 3: Cross multiply
    3,205.22x = 4,423.30 × 1,808.30
  4. Step 4: Simplify right side
    3,205.22x = 7,998,653.39
  5. Step 5: Solve for x
    x = 7,998,653.39/3,205.22
  6. Step 6: Final answer
    x = 2,495.51

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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.