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Finding the Fourth Proportional to 2,824.62, 3,897.27 and 1,645.26

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Solution

The fourth proportional to 2,824.62, 3,897.27 and 1,645.26 is: 2,270.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.62 : 3,897.27 = 1,645.26 : x
  2. Step 2: Convert to fraction form
    2,824.62/3,897.27 = 1,645.26/x
  3. Step 3: Cross multiply
    2,824.62x = 3,897.27 × 1,645.26
  4. Step 4: Simplify right side
    2,824.62x = 6,412,022.44
  5. Step 5: Solve for x
    x = 6,412,022.44/2,824.62
  6. Step 6: Final answer
    x = 2,270.05

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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.