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Finding the Fourth Proportional to 2,063.36, 3,094.62 and 830.75

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Solution

The fourth proportional to 2,063.36, 3,094.62 and 830.75 is: 1,245.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.36 : 3,094.62 = 830.75 : x
  2. Step 2: Convert to fraction form
    2,063.36/3,094.62 = 830.75/x
  3. Step 3: Cross multiply
    2,063.36x = 3,094.62 × 830.75
  4. Step 4: Simplify right side
    2,063.36x = 2,570,840.09
  5. Step 5: Solve for x
    x = 2,570,840.09/2,063.36
  6. Step 6: Final answer
    x = 1,245.95

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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.