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Finding the Fourth Proportional to 2,208.80, 3,313.20 and 1,469.60

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Solution

The fourth proportional to 2,208.80, 3,313.20 and 1,469.60 is: 2,204.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.80 : 3,313.20 = 1,469.60 : x
  2. Step 2: Convert to fraction form
    2,208.80/3,313.20 = 1,469.60/x
  3. Step 3: Cross multiply
    2,208.80x = 3,313.20 × 1,469.60
  4. Step 4: Simplify right side
    2,208.80x = 4,869,078.72
  5. Step 5: Solve for x
    x = 4,869,078.72/2,208.80
  6. Step 6: Final answer
    x = 2,204.40

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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.