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Finding the Fourth Proportional to 3,295.23, 4,942.84 and 830.24

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Solution

The fourth proportional to 3,295.23, 4,942.84 and 830.24 is: 1,245.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.23 : 4,942.84 = 830.24 : x
  2. Step 2: Convert to fraction form
    3,295.23/4,942.84 = 830.24/x
  3. Step 3: Cross multiply
    3,295.23x = 4,942.84 × 830.24
  4. Step 4: Simplify right side
    3,295.23x = 4,103,738.34
  5. Step 5: Solve for x
    x = 4,103,738.34/3,295.23
  6. Step 6: Final answer
    x = 1,245.36

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Double scale
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Similar ratio
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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.