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Finding the Fourth Proportional to 3,345.97, 4,617.56 and 2,019.41

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Solution

The fourth proportional to 3,345.97, 4,617.56 and 2,019.41 is: 2,786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,345.97 : 4,617.56 = 2,019.41 : x
  2. Step 2: Convert to fraction form
    3,345.97/4,617.56 = 2,019.41/x
  3. Step 3: Cross multiply
    3,345.97x = 4,617.56 × 2,019.41
  4. Step 4: Simplify right side
    3,345.97x = 9,324,760.73
  5. Step 5: Solve for x
    x = 9,324,760.73/3,345.97
  6. Step 6: Final answer
    x = 2,786.87

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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.