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Finding the Fourth Proportional to 2,698.21, 3,723.82 and 1,635.92

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Solution

The fourth proportional to 2,698.21, 3,723.82 and 1,635.92 is: 2,257.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.21 : 3,723.82 = 1,635.92 : x
  2. Step 2: Convert to fraction form
    2,698.21/3,723.82 = 1,635.92/x
  3. Step 3: Cross multiply
    2,698.21x = 3,723.82 × 1,635.92
  4. Step 4: Simplify right side
    2,698.21x = 6,091,882.55
  5. Step 5: Solve for x
    x = 6,091,882.55/2,698.21
  6. Step 6: Final answer
    x = 2,257.75

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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.