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Finding the Fourth Proportional to 1,728.39, 2,384.41 and 1,168.65

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Solution

The fourth proportional to 1,728.39, 2,384.41 and 1,168.65 is: 1,612.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.39 : 2,384.41 = 1,168.65 : x
  2. Step 2: Convert to fraction form
    1,728.39/2,384.41 = 1,168.65/x
  3. Step 3: Cross multiply
    1,728.39x = 2,384.41 × 1,168.65
  4. Step 4: Simplify right side
    1,728.39x = 2,786,540.75
  5. Step 5: Solve for x
    x = 2,786,540.75/1,728.39
  6. Step 6: Final answer
    x = 1,612.22

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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.