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Finding the Fourth Proportional to 2,399.94, 3,304.26 and 2,089.44

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Solution

The fourth proportional to 2,399.94, 3,304.26 and 2,089.44 is: 2,876.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.94 : 3,304.26 = 2,089.44 : x
  2. Step 2: Convert to fraction form
    2,399.94/3,304.26 = 2,089.44/x
  3. Step 3: Cross multiply
    2,399.94x = 3,304.26 × 2,089.44
  4. Step 4: Simplify right side
    2,399.94x = 6,904,053.01
  5. Step 5: Solve for x
    x = 6,904,053.01/2,399.94
  6. Step 6: Final answer
    x = 2,876.76

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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.