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Finding the Fourth Proportional to 2,191.25, 3,284.84 and 804.26

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Solution

The fourth proportional to 2,191.25, 3,284.84 and 804.26 is: 1,205.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.25 : 3,284.84 = 804.26 : x
  2. Step 2: Convert to fraction form
    2,191.25/3,284.84 = 804.26/x
  3. Step 3: Cross multiply
    2,191.25x = 3,284.84 × 804.26
  4. Step 4: Simplify right side
    2,191.25x = 2,641,844.97
  5. Step 5: Solve for x
    x = 2,641,844.97/2,191.25
  6. Step 6: Final answer
    x = 1,205.64

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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.