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Finding the Fourth Proportional to 2,738.16, 3,778.47 and 1,728.69

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Solution

The fourth proportional to 2,738.16, 3,778.47 and 1,728.69 is: 2,385.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.16 : 3,778.47 = 1,728.69 : x
  2. Step 2: Convert to fraction form
    2,738.16/3,778.47 = 1,728.69/x
  3. Step 3: Cross multiply
    2,738.16x = 3,778.47 × 1,728.69
  4. Step 4: Simplify right side
    2,738.16x = 6,531,803.30
  5. Step 5: Solve for x
    x = 6,531,803.30/2,738.16
  6. Step 6: Final answer
    x = 2,385.47

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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.