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Finding the Fourth Proportional to 3,193.34, 4,790.00 and 1,002.23

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Solution

The fourth proportional to 3,193.34, 4,790.00 and 1,002.23 is: 1,503.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.34 : 4,790.00 = 1,002.23 : x
  2. Step 2: Convert to fraction form
    3,193.34/4,790.00 = 1,002.23/x
  3. Step 3: Cross multiply
    3,193.34x = 4,790.00 × 1,002.23
  4. Step 4: Simplify right side
    3,193.34x = 4,800,676.69
  5. Step 5: Solve for x
    x = 4,800,676.69/3,193.34
  6. Step 6: Final answer
    x = 1,503.34

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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.