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Finding the Fourth Proportional to 3,299.03, 4,946.23 and 1,654.45

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Solution

The fourth proportional to 3,299.03, 4,946.23 and 1,654.45 is: 2,480.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.03 : 4,946.23 = 1,654.45 : x
  2. Step 2: Convert to fraction form
    3,299.03/4,946.23 = 1,654.45/x
  3. Step 3: Cross multiply
    3,299.03x = 4,946.23 × 1,654.45
  4. Step 4: Simplify right side
    3,299.03x = 8,183,273.72
  5. Step 5: Solve for x
    x = 8,183,273.72/3,299.03
  6. Step 6: Final answer
    x = 2,480.51

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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.