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Finding the Fourth Proportional to 2,268.52, 3,129.75 and 1,324.18

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Solution

The fourth proportional to 2,268.52, 3,129.75 and 1,324.18 is: 1,826.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.52 : 3,129.75 = 1,324.18 : x
  2. Step 2: Convert to fraction form
    2,268.52/3,129.75 = 1,324.18/x
  3. Step 3: Cross multiply
    2,268.52x = 3,129.75 × 1,324.18
  4. Step 4: Simplify right side
    2,268.52x = 4,144,352.36
  5. Step 5: Solve for x
    x = 4,144,352.36/2,268.52
  6. Step 6: Final answer
    x = 1,826.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.