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Finding the Fourth Proportional to 3,204.90, 4,807.86 and 1,230.44

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Solution

The fourth proportional to 3,204.90, 4,807.86 and 1,230.44 is: 1,845.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.90 : 4,807.86 = 1,230.44 : x
  2. Step 2: Convert to fraction form
    3,204.90/4,807.86 = 1,230.44/x
  3. Step 3: Cross multiply
    3,204.90x = 4,807.86 × 1,230.44
  4. Step 4: Simplify right side
    3,204.90x = 5,915,777.11
  5. Step 5: Solve for x
    x = 5,915,777.11/3,204.90
  6. Step 6: Final answer
    x = 1,845.86

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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.