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Finding the Fourth Proportional to 2,734.42, 4,100.61 and 885.05

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Solution

The fourth proportional to 2,734.42, 4,100.61 and 885.05 is: 1,327.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.42 : 4,100.61 = 885.05 : x
  2. Step 2: Convert to fraction form
    2,734.42/4,100.61 = 885.05/x
  3. Step 3: Cross multiply
    2,734.42x = 4,100.61 × 885.05
  4. Step 4: Simplify right side
    2,734.42x = 3,629,244.88
  5. Step 5: Solve for x
    x = 3,629,244.88/2,734.42
  6. Step 6: Final answer
    x = 1,327.24

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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.