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Finding the Fourth Proportional to 3,204.34, 4,807.14 and 1,355.44

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Solution

The fourth proportional to 3,204.34, 4,807.14 and 1,355.44 is: 2,033.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.34 : 4,807.14 = 1,355.44 : x
  2. Step 2: Convert to fraction form
    3,204.34/4,807.14 = 1,355.44/x
  3. Step 3: Cross multiply
    3,204.34x = 4,807.14 × 1,355.44
  4. Step 4: Simplify right side
    3,204.34x = 6,515,789.84
  5. Step 5: Solve for x
    x = 6,515,789.84/3,204.34
  6. Step 6: Final answer
    x = 2,033.43

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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.