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Finding the Fourth Proportional to 3,415.96, 5,120.70 and 1,682.56

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Solution

The fourth proportional to 3,415.96, 5,120.70 and 1,682.56 is: 2,522.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.96 : 5,120.70 = 1,682.56 : x
  2. Step 2: Convert to fraction form
    3,415.96/5,120.70 = 1,682.56/x
  3. Step 3: Cross multiply
    3,415.96x = 5,120.70 × 1,682.56
  4. Step 4: Simplify right side
    3,415.96x = 8,615,884.99
  5. Step 5: Solve for x
    x = 8,615,884.99/3,415.96
  6. Step 6: Final answer
    x = 2,522.24

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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.