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Finding the Fourth Proportional to 2,857.14, 3,940.29 and 1,795.01

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Solution

The fourth proportional to 2,857.14, 3,940.29 and 1,795.01 is: 2,475.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.14 : 3,940.29 = 1,795.01 : x
  2. Step 2: Convert to fraction form
    2,857.14/3,940.29 = 1,795.01/x
  3. Step 3: Cross multiply
    2,857.14x = 3,940.29 × 1,795.01
  4. Step 4: Simplify right side
    2,857.14x = 7,072,859.95
  5. Step 5: Solve for x
    x = 7,072,859.95/2,857.14
  6. Step 6: Final answer
    x = 2,475.50

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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.