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Finding the Fourth Proportional to 2,569.36, 3,855.26 and 1,399.31

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Solution

The fourth proportional to 2,569.36, 3,855.26 and 1,399.31 is: 2,099.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.36 : 3,855.26 = 1,399.31 : x
  2. Step 2: Convert to fraction form
    2,569.36/3,855.26 = 1,399.31/x
  3. Step 3: Cross multiply
    2,569.36x = 3,855.26 × 1,399.31
  4. Step 4: Simplify right side
    2,569.36x = 5,394,703.87
  5. Step 5: Solve for x
    x = 5,394,703.87/2,569.36
  6. Step 6: Final answer
    x = 2,099.63

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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.