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Finding the Fourth Proportional to 2,650.77, 3,968.58 and 2,103.75

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Solution

The fourth proportional to 2,650.77, 3,968.58 and 2,103.75 is: 3,149.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.77 : 3,968.58 = 2,103.75 : x
  2. Step 2: Convert to fraction form
    2,650.77/3,968.58 = 2,103.75/x
  3. Step 3: Cross multiply
    2,650.77x = 3,968.58 × 2,103.75
  4. Step 4: Simplify right side
    2,650.77x = 8,348,900.18
  5. Step 5: Solve for x
    x = 8,348,900.18/2,650.77
  6. Step 6: Final answer
    x = 3,149.61

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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.