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Finding the Fourth Proportional to 2,848, 3,930.32 and 1,728.80

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Solution

The fourth proportional to 2,848, 3,930.32 and 1,728.80 is: 2,385.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,848 : 3,930.32 = 1,728.80 : x
  2. Step 2: Convert to fraction form
    2,848/3,930.32 = 1,728.80/x
  3. Step 3: Cross multiply
    2,848x = 3,930.32 × 1,728.80
  4. Step 4: Simplify right side
    2,848x = 6,794,737.22
  5. Step 5: Solve for x
    x = 6,794,737.22/2,848
  6. Step 6: Final answer
    x = 2,385.79

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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.