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Finding the Fourth Proportional to 2,108.25, 2,906.68 and 1,728.74

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Solution

The fourth proportional to 2,108.25, 2,906.68 and 1,728.74 is: 2,383.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.25 : 2,906.68 = 1,728.74 : x
  2. Step 2: Convert to fraction form
    2,108.25/2,906.68 = 1,728.74/x
  3. Step 3: Cross multiply
    2,108.25x = 2,906.68 × 1,728.74
  4. Step 4: Simplify right side
    2,108.25x = 5,024,902.60
  5. Step 5: Solve for x
    x = 5,024,902.60/2,108.25
  6. Step 6: Final answer
    x = 2,383.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.