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Finding the Fourth Proportional to 2,179.92, 3,268.26 and 1,314.03

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Solution

The fourth proportional to 2,179.92, 3,268.26 and 1,314.03 is: 1,970.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.92 : 3,268.26 = 1,314.03 : x
  2. Step 2: Convert to fraction form
    2,179.92/3,268.26 = 1,314.03/x
  3. Step 3: Cross multiply
    2,179.92x = 3,268.26 × 1,314.03
  4. Step 4: Simplify right side
    2,179.92x = 4,294,591.69
  5. Step 5: Solve for x
    x = 4,294,591.69/2,179.92
  6. Step 6: Final answer
    x = 1,970.07

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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.