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Finding the Fourth Proportional to 1,809.26, 2,713.90 and 441.26

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Solution

The fourth proportional to 1,809.26, 2,713.90 and 441.26 is: 661.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.26 : 2,713.90 = 441.26 : x
  2. Step 2: Convert to fraction form
    1,809.26/2,713.90 = 441.26/x
  3. Step 3: Cross multiply
    1,809.26x = 2,713.90 × 441.26
  4. Step 4: Simplify right side
    1,809.26x = 1,197,535.51
  5. Step 5: Solve for x
    x = 1,197,535.51/1,809.26
  6. Step 6: Final answer
    x = 661.89

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Half scale
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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.