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Finding the Fourth Proportional to 2,795.36, 3,857.95 and 1,616.42

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Solution

The fourth proportional to 2,795.36, 3,857.95 and 1,616.42 is: 2,230.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.36 : 3,857.95 = 1,616.42 : x
  2. Step 2: Convert to fraction form
    2,795.36/3,857.95 = 1,616.42/x
  3. Step 3: Cross multiply
    2,795.36x = 3,857.95 × 1,616.42
  4. Step 4: Simplify right side
    2,795.36x = 6,236,070.11
  5. Step 5: Solve for x
    x = 6,236,070.11/2,795.36
  6. Step 6: Final answer
    x = 2,230.86

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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.