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Finding the Fourth Proportional to 2,266.32, 3,399.72 and 805.80

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Solution

The fourth proportional to 2,266.32, 3,399.72 and 805.80 is: 1,208.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.32 : 3,399.72 = 805.80 : x
  2. Step 2: Convert to fraction form
    2,266.32/3,399.72 = 805.80/x
  3. Step 3: Cross multiply
    2,266.32x = 3,399.72 × 805.80
  4. Step 4: Simplify right side
    2,266.32x = 2,739,494.38
  5. Step 5: Solve for x
    x = 2,739,494.38/2,266.32
  6. Step 6: Final answer
    x = 1,208.79

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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.