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Finding the Fourth Proportional to 3,204.55, 4,808.31 and 1,229.52

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Solution

The fourth proportional to 3,204.55, 4,808.31 and 1,229.52 is: 1,844.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.55 : 4,808.31 = 1,229.52 : x
  2. Step 2: Convert to fraction form
    3,204.55/4,808.31 = 1,229.52/x
  3. Step 3: Cross multiply
    3,204.55x = 4,808.31 × 1,229.52
  4. Step 4: Simplify right side
    3,204.55x = 5,911,913.31
  5. Step 5: Solve for x
    x = 5,911,913.31/3,204.55
  6. Step 6: Final answer
    x = 1,844.85

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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.