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Finding the Fourth Proportional to 2,066.83, 3,100.44 and 680.17

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Solution

The fourth proportional to 2,066.83, 3,100.44 and 680.17 is: 1,020.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.83 : 3,100.44 = 680.17 : x
  2. Step 2: Convert to fraction form
    2,066.83/3,100.44 = 680.17/x
  3. Step 3: Cross multiply
    2,066.83x = 3,100.44 × 680.17
  4. Step 4: Simplify right side
    2,066.83x = 2,108,826.27
  5. Step 5: Solve for x
    x = 2,108,826.27/2,066.83
  6. Step 6: Final answer
    x = 1,020.32

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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.