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Finding the Fourth Proportional to 2,795.09, 3,857.22 and 1,616.16

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Solution

The fourth proportional to 2,795.09, 3,857.22 and 1,616.16 is: 2,230.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.09 : 3,857.22 = 1,616.16 : x
  2. Step 2: Convert to fraction form
    2,795.09/3,857.22 = 1,616.16/x
  3. Step 3: Cross multiply
    2,795.09x = 3,857.22 × 1,616.16
  4. Step 4: Simplify right side
    2,795.09x = 6,233,884.68
  5. Step 5: Solve for x
    x = 6,233,884.68/2,795.09
  6. Step 6: Final answer
    x = 2,230.30

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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.