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Finding the Fourth Proportional to 3,193.88, 4,789.22 and 1,002.58

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Solution

The fourth proportional to 3,193.88, 4,789.22 and 1,002.58 is: 1,503.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.88 : 4,789.22 = 1,002.58 : x
  2. Step 2: Convert to fraction form
    3,193.88/4,789.22 = 1,002.58/x
  3. Step 3: Cross multiply
    3,193.88x = 4,789.22 × 1,002.58
  4. Step 4: Simplify right side
    3,193.88x = 4,801,576.19
  5. Step 5: Solve for x
    x = 4,801,576.19/3,193.88
  6. Step 6: Final answer
    x = 1,503.37

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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.