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Finding the Fourth Proportional to 3,193.89, 4,790.33 and 1,003.13

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Solution

The fourth proportional to 3,193.89, 4,790.33 and 1,003.13 is: 1,504.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.89 : 4,790.33 = 1,003.13 : x
  2. Step 2: Convert to fraction form
    3,193.89/4,790.33 = 1,003.13/x
  3. Step 3: Cross multiply
    3,193.89x = 4,790.33 × 1,003.13
  4. Step 4: Simplify right side
    3,193.89x = 4,805,342.03
  5. Step 5: Solve for x
    x = 4,805,342.03/3,193.89
  6. Step 6: Final answer
    x = 1,504.54

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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.