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Finding the Fourth Proportional to 3,226.75, 4,840.13 and 794.75

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Solution

The fourth proportional to 3,226.75, 4,840.13 and 794.75 is: 1,192.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226.75 : 4,840.13 = 794.75 : x
  2. Step 2: Convert to fraction form
    3,226.75/4,840.13 = 794.75/x
  3. Step 3: Cross multiply
    3,226.75x = 4,840.13 × 794.75
  4. Step 4: Simplify right side
    3,226.75x = 3,846,693.32
  5. Step 5: Solve for x
    x = 3,846,693.32/3,226.75
  6. Step 6: Final answer
    x = 1,192.13

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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.