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Finding the Fourth Proportional to 2,795.45, 3,857.42 and 1,616.29

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Solution

The fourth proportional to 2,795.45, 3,857.42 and 1,616.29 is: 2,230.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.45 : 3,857.42 = 1,616.29 : x
  2. Step 2: Convert to fraction form
    2,795.45/3,857.42 = 1,616.29/x
  3. Step 3: Cross multiply
    2,795.45x = 3,857.42 × 1,616.29
  4. Step 4: Simplify right side
    2,795.45x = 6,234,703.77
  5. Step 5: Solve for x
    x = 6,234,703.77/2,795.45
  6. Step 6: Final answer
    x = 2,230.31

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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.