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Finding the Fourth Proportional to 2,212.64, 3,319.60 and 2,208.80

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Solution

The fourth proportional to 2,212.64, 3,319.60 and 2,208.80 is: 3,313.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.64 : 3,319.60 = 2,208.80 : x
  2. Step 2: Convert to fraction form
    2,212.64/3,319.60 = 2,208.80/x
  3. Step 3: Cross multiply
    2,212.64x = 3,319.60 × 2,208.80
  4. Step 4: Simplify right side
    2,212.64x = 7,332,332.48
  5. Step 5: Solve for x
    x = 7,332,332.48/2,212.64
  6. Step 6: Final answer
    x = 3,313.84

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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.