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Finding the Fourth Proportional to 3,297.96, 4,940.46 and 1,567.80

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Solution

The fourth proportional to 3,297.96, 4,940.46 and 1,567.80 is: 2,348.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.96 : 4,940.46 = 1,567.80 : x
  2. Step 2: Convert to fraction form
    3,297.96/4,940.46 = 1,567.80/x
  3. Step 3: Cross multiply
    3,297.96x = 4,940.46 × 1,567.80
  4. Step 4: Simplify right side
    3,297.96x = 7,745,653.19
  5. Step 5: Solve for x
    x = 7,745,653.19/3,297.96
  6. Step 6: Final answer
    x = 2,348.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.