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Finding the Fourth Proportional to 3,453.30, 5,178.20 and 1,698.44

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Solution

The fourth proportional to 3,453.30, 5,178.20 and 1,698.44 is: 2,546.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.30 : 5,178.20 = 1,698.44 : x
  2. Step 2: Convert to fraction form
    3,453.30/5,178.20 = 1,698.44/x
  3. Step 3: Cross multiply
    3,453.30x = 5,178.20 × 1,698.44
  4. Step 4: Simplify right side
    3,453.30x = 8,794,827.62
  5. Step 5: Solve for x
    x = 8,794,827.62/3,453.30
  6. Step 6: Final answer
    x = 2,546.79

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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.