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Finding the Fourth Proportional to 1,728.65, 2,593.75 and 906.73

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Solution

The fourth proportional to 1,728.65, 2,593.75 and 906.73 is: 1,360.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.65 : 2,593.75 = 906.73 : x
  2. Step 2: Convert to fraction form
    1,728.65/2,593.75 = 906.73/x
  3. Step 3: Cross multiply
    1,728.65x = 2,593.75 × 906.73
  4. Step 4: Simplify right side
    1,728.65x = 2,351,830.94
  5. Step 5: Solve for x
    x = 2,351,830.94/1,728.65
  6. Step 6: Final answer
    x = 1,360.50

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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.