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Finding the Fourth Proportional to 2,162.60, 3,230.08 and 1,728.44

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Solution

The fourth proportional to 2,162.60, 3,230.08 and 1,728.44 is: 2,581.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.60 : 3,230.08 = 1,728.44 : x
  2. Step 2: Convert to fraction form
    2,162.60/3,230.08 = 1,728.44/x
  3. Step 3: Cross multiply
    2,162.60x = 3,230.08 × 1,728.44
  4. Step 4: Simplify right side
    2,162.60x = 5,582,999.48
  5. Step 5: Solve for x
    x = 5,582,999.48/2,162.60
  6. Step 6: Final answer
    x = 2,581.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.