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Finding the Fourth Proportional to 3,269.60, 4,893.60 and 2,297.60

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Solution

The fourth proportional to 3,269.60, 4,893.60 and 2,297.60 is: 3,438.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.60 : 4,893.60 = 2,297.60 : x
  2. Step 2: Convert to fraction form
    3,269.60/4,893.60 = 2,297.60/x
  3. Step 3: Cross multiply
    3,269.60x = 4,893.60 × 2,297.60
  4. Step 4: Simplify right side
    3,269.60x = 11,243,535.36
  5. Step 5: Solve for x
    x = 11,243,535.36/3,269.60
  6. Step 6: Final answer
    x = 3,438.81

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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.