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Finding the Fourth Proportional to 2,212.64, 3,314.80 and 1,661.60

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Solution

The fourth proportional to 2,212.64, 3,314.80 and 1,661.60 is: 2,489.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.64 : 3,314.80 = 1,661.60 : x
  2. Step 2: Convert to fraction form
    2,212.64/3,314.80 = 1,661.60/x
  3. Step 3: Cross multiply
    2,212.64x = 3,314.80 × 1,661.60
  4. Step 4: Simplify right side
    2,212.64x = 5,507,871.68
  5. Step 5: Solve for x
    x = 5,507,871.68/2,212.64
  6. Step 6: Final answer
    x = 2,489.28

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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.