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Finding the Fourth Proportional to 3,380.96, 5,066.04 and 1,646.48

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Solution

The fourth proportional to 3,380.96, 5,066.04 and 1,646.48 is: 2,467.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.96 : 5,066.04 = 1,646.48 : x
  2. Step 2: Convert to fraction form
    3,380.96/5,066.04 = 1,646.48/x
  3. Step 3: Cross multiply
    3,380.96x = 5,066.04 × 1,646.48
  4. Step 4: Simplify right side
    3,380.96x = 8,341,133.54
  5. Step 5: Solve for x
    x = 8,341,133.54/3,380.96
  6. Step 6: Final answer
    x = 2,467.09

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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.