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Finding the Fourth Proportional to 3,392.94, 4,682.49 and 1,900.83

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Solution

The fourth proportional to 3,392.94, 4,682.49 and 1,900.83 is: 2,623.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,392.94 : 4,682.49 = 1,900.83 : x
  2. Step 2: Convert to fraction form
    3,392.94/4,682.49 = 1,900.83/x
  3. Step 3: Cross multiply
    3,392.94x = 4,682.49 × 1,900.83
  4. Step 4: Simplify right side
    3,392.94x = 8,900,584.55
  5. Step 5: Solve for x
    x = 8,900,584.55/3,392.94
  6. Step 6: Final answer
    x = 2,623.27

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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.