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Finding the Fourth Proportional to 3,170.14, 4,754.78 and 830.30

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Solution

The fourth proportional to 3,170.14, 4,754.78 and 830.30 is: 1,245.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.14 : 4,754.78 = 830.30 : x
  2. Step 2: Convert to fraction form
    3,170.14/4,754.78 = 830.30/x
  3. Step 3: Cross multiply
    3,170.14x = 4,754.78 × 830.30
  4. Step 4: Simplify right side
    3,170.14x = 3,947,893.83
  5. Step 5: Solve for x
    x = 3,947,893.83/3,170.14
  6. Step 6: Final answer
    x = 1,245.34

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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.