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Finding the Fourth Proportional to 3,103.90, 4,650.96 and 1,638.64

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Solution

The fourth proportional to 3,103.90, 4,650.96 and 1,638.64 is: 2,455.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.90 : 4,650.96 = 1,638.64 : x
  2. Step 2: Convert to fraction form
    3,103.90/4,650.96 = 1,638.64/x
  3. Step 3: Cross multiply
    3,103.90x = 4,650.96 × 1,638.64
  4. Step 4: Simplify right side
    3,103.90x = 7,621,249.09
  5. Step 5: Solve for x
    x = 7,621,249.09/3,103.90
  6. Step 6: Final answer
    x = 2,455.38

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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.