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Finding the Fourth Proportional to 3,297.67, 4,945.98 and 1,106.41

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Solution

The fourth proportional to 3,297.67, 4,945.98 and 1,106.41 is: 1,659.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.67 : 4,945.98 = 1,106.41 : x
  2. Step 2: Convert to fraction form
    3,297.67/4,945.98 = 1,106.41/x
  3. Step 3: Cross multiply
    3,297.67x = 4,945.98 × 1,106.41
  4. Step 4: Simplify right side
    3,297.67x = 5,472,281.73
  5. Step 5: Solve for x
    x = 5,472,281.73/3,297.67
  6. Step 6: Final answer
    x = 1,659.44

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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.