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Finding the Fourth Proportional to 2,857.74, 3,942.99 and 1,738.86

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Solution

The fourth proportional to 2,857.74, 3,942.99 and 1,738.86 is: 2,399.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.74 : 3,942.99 = 1,738.86 : x
  2. Step 2: Convert to fraction form
    2,857.74/3,942.99 = 1,738.86/x
  3. Step 3: Cross multiply
    2,857.74x = 3,942.99 × 1,738.86
  4. Step 4: Simplify right side
    2,857.74x = 6,856,307.59
  5. Step 5: Solve for x
    x = 6,856,307.59/2,857.74
  6. Step 6: Final answer
    x = 2,399.21

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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.