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Finding the Fourth Proportional to 3,105.42, 4,285.22 and 1,829.09

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Solution

The fourth proportional to 3,105.42, 4,285.22 and 1,829.09 is: 2,523.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.42 : 4,285.22 = 1,829.09 : x
  2. Step 2: Convert to fraction form
    3,105.42/4,285.22 = 1,829.09/x
  3. Step 3: Cross multiply
    3,105.42x = 4,285.22 × 1,829.09
  4. Step 4: Simplify right side
    3,105.42x = 7,838,054.62
  5. Step 5: Solve for x
    x = 7,838,054.62/3,105.42
  6. Step 6: Final answer
    x = 2,523.99

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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.