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Finding the Fourth Proportional to 4,233.89, 6,349.01 and 1,635

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Solution

The fourth proportional to 4,233.89, 6,349.01 and 1,635 is: 2,451.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,233.89 : 6,349.01 = 1,635 : x
  2. Step 2: Convert to fraction form
    4,233.89/6,349.01 = 1,635/x
  3. Step 3: Cross multiply
    4,233.89x = 6,349.01 × 1,635
  4. Step 4: Simplify right side
    4,233.89x = 10,380,623.18
  5. Step 5: Solve for x
    x = 10,380,623.18/4,233.89
  6. Step 6: Final answer
    x = 2,451.80

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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.