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Finding the Fourth Proportional to 3,193.44, 4,790.36 and 1,002.25

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Solution

The fourth proportional to 3,193.44, 4,790.36 and 1,002.25 is: 1,503.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.44 : 4,790.36 = 1,002.25 : x
  2. Step 2: Convert to fraction form
    3,193.44/4,790.36 = 1,002.25/x
  3. Step 3: Cross multiply
    3,193.44x = 4,790.36 × 1,002.25
  4. Step 4: Simplify right side
    3,193.44x = 4,801,141.17
  5. Step 5: Solve for x
    x = 4,801,141.17/3,193.44
  6. Step 6: Final answer
    x = 1,503.44

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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.