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Finding the Fourth Proportional to 2,874.14, 4,310.41 and 793.66

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Solution

The fourth proportional to 2,874.14, 4,310.41 and 793.66 is: 1,190.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.14 : 4,310.41 = 793.66 : x
  2. Step 2: Convert to fraction form
    2,874.14/4,310.41 = 793.66/x
  3. Step 3: Cross multiply
    2,874.14x = 4,310.41 × 793.66
  4. Step 4: Simplify right side
    2,874.14x = 3,421,000.00
  5. Step 5: Solve for x
    x = 3,421,000.00/2,874.14
  6. Step 6: Final answer
    x = 1,190.27

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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.