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Finding the Fourth Proportional to 1,634.25, 2,255.28 and 936.03

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Solution

The fourth proportional to 1,634.25, 2,255.28 and 936.03 is: 1,291.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.25 : 2,255.28 = 936.03 : x
  2. Step 2: Convert to fraction form
    1,634.25/2,255.28 = 936.03/x
  3. Step 3: Cross multiply
    1,634.25x = 2,255.28 × 936.03
  4. Step 4: Simplify right side
    1,634.25x = 2,111,009.74
  5. Step 5: Solve for x
    x = 2,111,009.74/1,634.25
  6. Step 6: Final answer
    x = 1,291.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.