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Finding the Fourth Proportional to 3,040.34, 4,192.29 and 1,919.97

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Solution

The fourth proportional to 3,040.34, 4,192.29 and 1,919.97 is: 2,647.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,040.34 : 4,192.29 = 1,919.97 : x
  2. Step 2: Convert to fraction form
    3,040.34/4,192.29 = 1,919.97/x
  3. Step 3: Cross multiply
    3,040.34x = 4,192.29 × 1,919.97
  4. Step 4: Simplify right side
    3,040.34x = 8,049,071.03
  5. Step 5: Solve for x
    x = 8,049,071.03/3,040.34
  6. Step 6: Final answer
    x = 2,647.43

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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.