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Finding the Fourth Proportional to 3,199.81, 4,416.30 and 1,923.34

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Solution

The fourth proportional to 3,199.81, 4,416.30 and 1,923.34 is: 2,654.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.81 : 4,416.30 = 1,923.34 : x
  2. Step 2: Convert to fraction form
    3,199.81/4,416.30 = 1,923.34/x
  3. Step 3: Cross multiply
    3,199.81x = 4,416.30 × 1,923.34
  4. Step 4: Simplify right side
    3,199.81x = 8,494,046.44
  5. Step 5: Solve for x
    x = 8,494,046.44/3,199.81
  6. Step 6: Final answer
    x = 2,654.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.