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Finding the Fourth Proportional to 2,305.15, 3,454.48 and 1,728.43

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Solution

The fourth proportional to 2,305.15, 3,454.48 and 1,728.43 is: 2,590.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.15 : 3,454.48 = 1,728.43 : x
  2. Step 2: Convert to fraction form
    2,305.15/3,454.48 = 1,728.43/x
  3. Step 3: Cross multiply
    2,305.15x = 3,454.48 × 1,728.43
  4. Step 4: Simplify right side
    2,305.15x = 5,970,820.39
  5. Step 5: Solve for x
    x = 5,970,820.39/2,305.15
  6. Step 6: Final answer
    x = 2,590.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.