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Finding the Fourth Proportional to 3,269.28, 4,904.64 and 1,321.68

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Solution

The fourth proportional to 3,269.28, 4,904.64 and 1,321.68 is: 1,982.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.28 : 4,904.64 = 1,321.68 : x
  2. Step 2: Convert to fraction form
    3,269.28/4,904.64 = 1,321.68/x
  3. Step 3: Cross multiply
    3,269.28x = 4,904.64 × 1,321.68
  4. Step 4: Simplify right side
    3,269.28x = 6,482,364.60
  5. Step 5: Solve for x
    x = 6,482,364.60/3,269.28
  6. Step 6: Final answer
    x = 1,982.81

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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.