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Finding the Fourth Proportional to 3,193.93, 4,790.44 and 1,002.38

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Solution

The fourth proportional to 3,193.93, 4,790.44 and 1,002.38 is: 1,503.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.93 : 4,790.44 = 1,002.38 : x
  2. Step 2: Convert to fraction form
    3,193.93/4,790.44 = 1,002.38/x
  3. Step 3: Cross multiply
    3,193.93x = 4,790.44 × 1,002.38
  4. Step 4: Simplify right side
    3,193.93x = 4,801,818.55
  5. Step 5: Solve for x
    x = 4,801,818.55/3,193.93
  6. Step 6: Final answer
    x = 1,503.42

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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.