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Finding the Fourth Proportional to 3,410.38, 5,111.73 and 1,680.22

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Solution

The fourth proportional to 3,410.38, 5,111.73 and 1,680.22 is: 2,518.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.38 : 5,111.73 = 1,680.22 : x
  2. Step 2: Convert to fraction form
    3,410.38/5,111.73 = 1,680.22/x
  3. Step 3: Cross multiply
    3,410.38x = 5,111.73 × 1,680.22
  4. Step 4: Simplify right side
    3,410.38x = 8,588,830.98
  5. Step 5: Solve for x
    x = 8,588,830.98/3,410.38
  6. Step 6: Final answer
    x = 2,518.44

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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.