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Finding the Fourth Proportional to 1,720.92, 2,582.44 and 680.75

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Solution

The fourth proportional to 1,720.92, 2,582.44 and 680.75 is: 1,021.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.92 : 2,582.44 = 680.75 : x
  2. Step 2: Convert to fraction form
    1,720.92/2,582.44 = 680.75/x
  3. Step 3: Cross multiply
    1,720.92x = 2,582.44 × 680.75
  4. Step 4: Simplify right side
    1,720.92x = 1,757,983.12
  5. Step 5: Solve for x
    x = 1,757,983.12/1,720.92
  6. Step 6: Final answer
    x = 1,021.54

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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.