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Finding the Fourth Proportional to 3,205.44, 4,420.98 and 2,026.89

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Solution

The fourth proportional to 3,205.44, 4,420.98 and 2,026.89 is: 2,795.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.44 : 4,420.98 = 2,026.89 : x
  2. Step 2: Convert to fraction form
    3,205.44/4,420.98 = 2,026.89/x
  3. Step 3: Cross multiply
    3,205.44x = 4,420.98 × 2,026.89
  4. Step 4: Simplify right side
    3,205.44x = 8,960,840.15
  5. Step 5: Solve for x
    x = 8,960,840.15/3,205.44
  6. Step 6: Final answer
    x = 2,795.51

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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.