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Finding the Fourth Proportional to 3,175.60, 4,380.96 and 1,994.80

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Solution

The fourth proportional to 3,175.60, 4,380.96 and 1,994.80 is: 2,751.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.60 : 4,380.96 = 1,994.80 : x
  2. Step 2: Convert to fraction form
    3,175.60/4,380.96 = 1,994.80/x
  3. Step 3: Cross multiply
    3,175.60x = 4,380.96 × 1,994.80
  4. Step 4: Simplify right side
    3,175.60x = 8,739,139.01
  5. Step 5: Solve for x
    x = 8,739,139.01/3,175.60
  6. Step 6: Final answer
    x = 2,751.96

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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.