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Finding the Fourth Proportional to 3,067.46, 4,602.54 and 2,380.10

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Solution

The fourth proportional to 3,067.46, 4,602.54 and 2,380.10 is: 3,571.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.46 : 4,602.54 = 2,380.10 : x
  2. Step 2: Convert to fraction form
    3,067.46/4,602.54 = 2,380.10/x
  3. Step 3: Cross multiply
    3,067.46x = 4,602.54 × 2,380.10
  4. Step 4: Simplify right side
    3,067.46x = 10,954,470.54
  5. Step 5: Solve for x
    x = 10,954,470.54/3,067.46
  6. Step 6: Final answer
    x = 3,571.19

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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.