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Finding the Fourth Proportional to 2,778.07, 3,833.62 and 1,519.07

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Solution

The fourth proportional to 2,778.07, 3,833.62 and 1,519.07 is: 2,096.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.07 : 3,833.62 = 1,519.07 : x
  2. Step 2: Convert to fraction form
    2,778.07/3,833.62 = 1,519.07/x
  3. Step 3: Cross multiply
    2,778.07x = 3,833.62 × 1,519.07
  4. Step 4: Simplify right side
    2,778.07x = 5,823,537.13
  5. Step 5: Solve for x
    x = 5,823,537.13/2,778.07
  6. Step 6: Final answer
    x = 2,096.25

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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.