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Finding the Fourth Proportional to 3,200.96, 4,415.93 and 2,005.21

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Solution

The fourth proportional to 3,200.96, 4,415.93 and 2,005.21 is: 2,766.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.96 : 4,415.93 = 2,005.21 : x
  2. Step 2: Convert to fraction form
    3,200.96/4,415.93 = 2,005.21/x
  3. Step 3: Cross multiply
    3,200.96x = 4,415.93 × 2,005.21
  4. Step 4: Simplify right side
    3,200.96x = 8,854,867.00
  5. Step 5: Solve for x
    x = 8,854,867.00/3,200.96
  6. Step 6: Final answer
    x = 2,766.32

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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.