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Finding the Fourth Proportional to 3,268.60, 4,905.42 and 1,322.20

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Solution

The fourth proportional to 3,268.60, 4,905.42 and 1,322.20 is: 1,984.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268.60 : 4,905.42 = 1,322.20 : x
  2. Step 2: Convert to fraction form
    3,268.60/4,905.42 = 1,322.20/x
  3. Step 3: Cross multiply
    3,268.60x = 4,905.42 × 1,322.20
  4. Step 4: Simplify right side
    3,268.60x = 6,485,946.32
  5. Step 5: Solve for x
    x = 6,485,946.32/3,268.60
  6. Step 6: Final answer
    x = 1,984.32

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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.