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Finding the Fourth Proportional to 2,734.74, 4,102.11 and 786.94

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Solution

The fourth proportional to 2,734.74, 4,102.11 and 786.94 is: 1,180.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.74 : 4,102.11 = 786.94 : x
  2. Step 2: Convert to fraction form
    2,734.74/4,102.11 = 786.94/x
  3. Step 3: Cross multiply
    2,734.74x = 4,102.11 × 786.94
  4. Step 4: Simplify right side
    2,734.74x = 3,228,114.44
  5. Step 5: Solve for x
    x = 3,228,114.44/2,734.74
  6. Step 6: Final answer
    x = 1,180.41

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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.