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Finding the Fourth Proportional to 2,474.50, 3,414.71 and 1,480.33

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Solution

The fourth proportional to 2,474.50, 3,414.71 and 1,480.33 is: 2,042.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.50 : 3,414.71 = 1,480.33 : x
  2. Step 2: Convert to fraction form
    2,474.50/3,414.71 = 1,480.33/x
  3. Step 3: Cross multiply
    2,474.50x = 3,414.71 × 1,480.33
  4. Step 4: Simplify right side
    2,474.50x = 5,054,880.58
  5. Step 5: Solve for x
    x = 5,054,880.58/2,474.50
  6. Step 6: Final answer
    x = 2,042.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.