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Finding the Fourth Proportional to 3,193.41, 4,783.23 and 1,729.47

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Solution

The fourth proportional to 3,193.41, 4,783.23 and 1,729.47 is: 2,590.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.41 : 4,783.23 = 1,729.47 : x
  2. Step 2: Convert to fraction form
    3,193.41/4,783.23 = 1,729.47/x
  3. Step 3: Cross multiply
    3,193.41x = 4,783.23 × 1,729.47
  4. Step 4: Simplify right side
    3,193.41x = 8,272,452.79
  5. Step 5: Solve for x
    x = 8,272,452.79/3,193.41
  6. Step 6: Final answer
    x = 2,590.48

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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.