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Finding the Fourth Proportional to 1,786.44, 2,676.26 and 859.26

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Solution

The fourth proportional to 1,786.44, 2,676.26 and 859.26 is: 1,287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.44 : 2,676.26 = 859.26 : x
  2. Step 2: Convert to fraction form
    1,786.44/2,676.26 = 859.26/x
  3. Step 3: Cross multiply
    1,786.44x = 2,676.26 × 859.26
  4. Step 4: Simplify right side
    1,786.44x = 2,299,603.17
  5. Step 5: Solve for x
    x = 2,299,603.17/1,786.44
  6. Step 6: Final answer
    x = 1,287.25

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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.