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Finding the Fourth Proportional to 3,202.98, 4,420.27 and 2,415.66

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Solution

The fourth proportional to 3,202.98, 4,420.27 and 2,415.66 is: 3,333.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.98 : 4,420.27 = 2,415.66 : x
  2. Step 2: Convert to fraction form
    3,202.98/4,420.27 = 2,415.66/x
  3. Step 3: Cross multiply
    3,202.98x = 4,420.27 × 2,415.66
  4. Step 4: Simplify right side
    3,202.98x = 10,677,855.87
  5. Step 5: Solve for x
    x = 10,677,855.87/3,202.98
  6. Step 6: Final answer
    x = 3,333.73

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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.