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Finding the Fourth Proportional to 2,857.65, 3,942.17 and 1,796.72

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Solution

The fourth proportional to 2,857.65, 3,942.17 and 1,796.72 is: 2,478.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.65 : 3,942.17 = 1,796.72 : x
  2. Step 2: Convert to fraction form
    2,857.65/3,942.17 = 1,796.72/x
  3. Step 3: Cross multiply
    2,857.65x = 3,942.17 × 1,796.72
  4. Step 4: Simplify right side
    2,857.65x = 7,082,953.73
  5. Step 5: Solve for x
    x = 7,082,953.73/2,857.65
  6. Step 6: Final answer
    x = 2,478.60

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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.