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Finding the Fourth Proportional to 2,569.88, 3,843.84 and 2,145.15

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Solution

The fourth proportional to 2,569.88, 3,843.84 and 2,145.15 is: 3,208.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.88 : 3,843.84 = 2,145.15 : x
  2. Step 2: Convert to fraction form
    2,569.88/3,843.84 = 2,145.15/x
  3. Step 3: Cross multiply
    2,569.88x = 3,843.84 × 2,145.15
  4. Step 4: Simplify right side
    2,569.88x = 8,245,609.35
  5. Step 5: Solve for x
    x = 8,245,609.35/2,569.88
  6. Step 6: Final answer
    x = 3,208.56

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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.