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Finding the Fourth Proportional to 1,728.25, 2,593.15 and 906.33

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Solution

The fourth proportional to 1,728.25, 2,593.15 and 906.33 is: 1,359.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.25 : 2,593.15 = 906.33 : x
  2. Step 2: Convert to fraction form
    1,728.25/2,593.15 = 906.33/x
  3. Step 3: Cross multiply
    1,728.25x = 2,593.15 × 906.33
  4. Step 4: Simplify right side
    1,728.25x = 2,350,249.64
  5. Step 5: Solve for x
    x = 2,350,249.64/1,728.25
  6. Step 6: Final answer
    x = 1,359.90

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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.