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Finding the Fourth Proportional to 3,202.56, 4,420.80 and 2,211.84

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Solution

The fourth proportional to 3,202.56, 4,420.80 and 2,211.84 is: 3,053.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.56 : 4,420.80 = 2,211.84 : x
  2. Step 2: Convert to fraction form
    3,202.56/4,420.80 = 2,211.84/x
  3. Step 3: Cross multiply
    3,202.56x = 4,420.80 × 2,211.84
  4. Step 4: Simplify right side
    3,202.56x = 9,778,102.27
  5. Step 5: Solve for x
    x = 9,778,102.27/3,202.56
  6. Step 6: Final answer
    x = 3,053.21

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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.