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Finding the Fourth Proportional to 3,299.52, 4,949.50 and 1,219.47

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Solution

The fourth proportional to 3,299.52, 4,949.50 and 1,219.47 is: 1,829.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.52 : 4,949.50 = 1,219.47 : x
  2. Step 2: Convert to fraction form
    3,299.52/4,949.50 = 1,219.47/x
  3. Step 3: Cross multiply
    3,299.52x = 4,949.50 × 1,219.47
  4. Step 4: Simplify right side
    3,299.52x = 6,035,775.28
  5. Step 5: Solve for x
    x = 6,035,775.28/3,299.52
  6. Step 6: Final answer
    x = 1,829.29

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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.