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Finding the Fourth Proportional to 3,299.73, 4,948.71 and 1,108

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Solution

The fourth proportional to 3,299.73, 4,948.71 and 1,108 is: 1,661.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.73 : 4,948.71 = 1,108 : x
  2. Step 2: Convert to fraction form
    3,299.73/4,948.71 = 1,108/x
  3. Step 3: Cross multiply
    3,299.73x = 4,948.71 × 1,108
  4. Step 4: Simplify right side
    3,299.73x = 5,483,170.68
  5. Step 5: Solve for x
    x = 5,483,170.68/3,299.73
  6. Step 6: Final answer
    x = 1,661.70

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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.