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Finding the Fourth Proportional to 3,255.96, 4,883.94 and 949.08

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Solution

The fourth proportional to 3,255.96, 4,883.94 and 949.08 is: 1,423.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,255.96 : 4,883.94 = 949.08 : x
  2. Step 2: Convert to fraction form
    3,255.96/4,883.94 = 949.08/x
  3. Step 3: Cross multiply
    3,255.96x = 4,883.94 × 949.08
  4. Step 4: Simplify right side
    3,255.96x = 4,635,249.78
  5. Step 5: Solve for x
    x = 4,635,249.78/3,255.96
  6. Step 6: Final answer
    x = 1,423.62

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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.