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Finding the Fourth Proportional to 2,513.82, 3,469.05 and 1,629.60

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Solution

The fourth proportional to 2,513.82, 3,469.05 and 1,629.60 is: 2,248.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.82 : 3,469.05 = 1,629.60 : x
  2. Step 2: Convert to fraction form
    2,513.82/3,469.05 = 1,629.60/x
  3. Step 3: Cross multiply
    2,513.82x = 3,469.05 × 1,629.60
  4. Step 4: Simplify right side
    2,513.82x = 5,653,163.88
  5. Step 5: Solve for x
    x = 5,653,163.88/2,513.82
  6. Step 6: Final answer
    x = 2,248.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.