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Finding the Fourth Proportional to 3,801.85, 5,704.98 and 1,610.44

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Solution

The fourth proportional to 3,801.85, 5,704.98 and 1,610.44 is: 2,416.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.85 : 5,704.98 = 1,610.44 : x
  2. Step 2: Convert to fraction form
    3,801.85/5,704.98 = 1,610.44/x
  3. Step 3: Cross multiply
    3,801.85x = 5,704.98 × 1,610.44
  4. Step 4: Simplify right side
    3,801.85x = 9,187,527.99
  5. Step 5: Solve for x
    x = 9,187,527.99/3,801.85
  6. Step 6: Final answer
    x = 2,416.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.