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Finding the Fourth Proportional to 2,212.64, 3,313.20 and 2,157.60

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Solution

The fourth proportional to 2,212.64, 3,313.20 and 2,157.60 is: 3,230.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.64 : 3,313.20 = 2,157.60 : x
  2. Step 2: Convert to fraction form
    2,212.64/3,313.20 = 2,157.60/x
  3. Step 3: Cross multiply
    2,212.64x = 3,313.20 × 2,157.60
  4. Step 4: Simplify right side
    2,212.64x = 7,148,560.32
  5. Step 5: Solve for x
    x = 7,148,560.32/2,212.64
  6. Step 6: Final answer
    x = 3,230.78

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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.