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Finding the Fourth Proportional to 3,233.80, 4,850.70 and 893.80

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Solution

The fourth proportional to 3,233.80, 4,850.70 and 893.80 is: 1,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.80 : 4,850.70 = 893.80 : x
  2. Step 2: Convert to fraction form
    3,233.80/4,850.70 = 893.80/x
  3. Step 3: Cross multiply
    3,233.80x = 4,850.70 × 893.80
  4. Step 4: Simplify right side
    3,233.80x = 4,335,555.66
  5. Step 5: Solve for x
    x = 4,335,555.66/3,233.80
  6. Step 6: Final answer
    x = 1,340.70

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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.