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Finding the Fourth Proportional to 3,297.70, 4,945.75 and 1,105.86

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Solution

The fourth proportional to 3,297.70, 4,945.75 and 1,105.86 is: 1,658.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.70 : 4,945.75 = 1,105.86 : x
  2. Step 2: Convert to fraction form
    3,297.70/4,945.75 = 1,105.86/x
  3. Step 3: Cross multiply
    3,297.70x = 4,945.75 × 1,105.86
  4. Step 4: Simplify right side
    3,297.70x = 5,469,307.10
  5. Step 5: Solve for x
    x = 5,469,307.10/3,297.70
  6. Step 6: Final answer
    x = 1,658.52

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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.