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Finding the Fourth Proportional to 3,268.59, 4,903.71 and 1,419.26

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Solution

The fourth proportional to 3,268.59, 4,903.71 and 1,419.26 is: 2,129.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268.59 : 4,903.71 = 1,419.26 : x
  2. Step 2: Convert to fraction form
    3,268.59/4,903.71 = 1,419.26/x
  3. Step 3: Cross multiply
    3,268.59x = 4,903.71 × 1,419.26
  4. Step 4: Simplify right side
    3,268.59x = 6,959,614.94
  5. Step 5: Solve for x
    x = 6,959,614.94/3,268.59
  6. Step 6: Final answer
    x = 2,129.24

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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.