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Finding the Fourth Proportional to 3,297, 4,945.97 and 1,216.65

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Solution

The fourth proportional to 3,297, 4,945.97 and 1,216.65 is: 1,825.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297 : 4,945.97 = 1,216.65 : x
  2. Step 2: Convert to fraction form
    3,297/4,945.97 = 1,216.65/x
  3. Step 3: Cross multiply
    3,297x = 4,945.97 × 1,216.65
  4. Step 4: Simplify right side
    3,297x = 6,017,517.44
  5. Step 5: Solve for x
    x = 6,017,517.44/3,297
  6. Step 6: Final answer
    x = 1,825.15

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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.