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Finding the Fourth Proportional to 2,857.97, 3,942.84 and 1,738.01

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Solution

The fourth proportional to 2,857.97, 3,942.84 and 1,738.01 is: 2,397.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.97 : 3,942.84 = 1,738.01 : x
  2. Step 2: Convert to fraction form
    2,857.97/3,942.84 = 1,738.01/x
  3. Step 3: Cross multiply
    2,857.97x = 3,942.84 × 1,738.01
  4. Step 4: Simplify right side
    2,857.97x = 6,852,711.72
  5. Step 5: Solve for x
    x = 6,852,711.72/2,857.97
  6. Step 6: Final answer
    x = 2,397.75

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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.