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Finding the Fourth Proportional to 2,565.37, 3,843.83 and 1,083.37

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Solution

The fourth proportional to 2,565.37, 3,843.83 and 1,083.37 is: 1,623.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.37 : 3,843.83 = 1,083.37 : x
  2. Step 2: Convert to fraction form
    2,565.37/3,843.83 = 1,083.37/x
  3. Step 3: Cross multiply
    2,565.37x = 3,843.83 × 1,083.37
  4. Step 4: Simplify right side
    2,565.37x = 4,164,297.62
  5. Step 5: Solve for x
    x = 4,164,297.62/2,565.37
  6. Step 6: Final answer
    x = 1,623.28

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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.