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Finding the Fourth Proportional to 1,728.90, 2,593.44 and 839.16

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Solution

The fourth proportional to 1,728.90, 2,593.44 and 839.16 is: 1,258.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.90 : 2,593.44 = 839.16 : x
  2. Step 2: Convert to fraction form
    1,728.90/2,593.44 = 839.16/x
  3. Step 3: Cross multiply
    1,728.90x = 2,593.44 × 839.16
  4. Step 4: Simplify right side
    1,728.90x = 2,176,311.11
  5. Step 5: Solve for x
    x = 2,176,311.11/1,728.90
  6. Step 6: Final answer
    x = 1,258.78

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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.