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Finding the Fourth Proportional to 3,103.94, 4,284.09 and 1,968.88

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Solution

The fourth proportional to 3,103.94, 4,284.09 and 1,968.88 is: 2,717.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.94 : 4,284.09 = 1,968.88 : x
  2. Step 2: Convert to fraction form
    3,103.94/4,284.09 = 1,968.88/x
  3. Step 3: Cross multiply
    3,103.94x = 4,284.09 × 1,968.88
  4. Step 4: Simplify right side
    3,103.94x = 8,434,859.12
  5. Step 5: Solve for x
    x = 8,434,859.12/3,103.94
  6. Step 6: Final answer
    x = 2,717.47

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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.