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Finding the Fourth Proportional to 2,418.69, 3,629.15 and 1,433.46

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Solution

The fourth proportional to 2,418.69, 3,629.15 and 1,433.46 is: 2,150.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418.69 : 3,629.15 = 1,433.46 : x
  2. Step 2: Convert to fraction form
    2,418.69/3,629.15 = 1,433.46/x
  3. Step 3: Cross multiply
    2,418.69x = 3,629.15 × 1,433.46
  4. Step 4: Simplify right side
    2,418.69x = 5,202,234.19
  5. Step 5: Solve for x
    x = 5,202,234.19/2,418.69
  6. Step 6: Final answer
    x = 2,150.85

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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.