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Finding the Fourth Proportional to 2,734.05, 4,101.54 and 884.94

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Solution

The fourth proportional to 2,734.05, 4,101.54 and 884.94 is: 1,327.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.05 : 4,101.54 = 884.94 : x
  2. Step 2: Convert to fraction form
    2,734.05/4,101.54 = 884.94/x
  3. Step 3: Cross multiply
    2,734.05x = 4,101.54 × 884.94
  4. Step 4: Simplify right side
    2,734.05x = 3,629,616.81
  5. Step 5: Solve for x
    x = 3,629,616.81/2,734.05
  6. Step 6: Final answer
    x = 1,327.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.