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Finding the Fourth Proportional to 3,268.46, 4,903.02 and 1,419.05

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Solution

The fourth proportional to 3,268.46, 4,903.02 and 1,419.05 is: 2,128.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268.46 : 4,903.02 = 1,419.05 : x
  2. Step 2: Convert to fraction form
    3,268.46/4,903.02 = 1,419.05/x
  3. Step 3: Cross multiply
    3,268.46x = 4,903.02 × 1,419.05
  4. Step 4: Simplify right side
    3,268.46x = 6,957,606.02
  5. Step 5: Solve for x
    x = 6,957,606.02/3,268.46
  6. Step 6: Final answer
    x = 2,128.71

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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.