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Finding the Fourth Proportional to 3,268.92, 4,509.42 and 2,024.76

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Solution

The fourth proportional to 3,268.92, 4,509.42 and 2,024.76 is: 2,793.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268.92 : 4,509.42 = 2,024.76 : x
  2. Step 2: Convert to fraction form
    3,268.92/4,509.42 = 2,024.76/x
  3. Step 3: Cross multiply
    3,268.92x = 4,509.42 × 2,024.76
  4. Step 4: Simplify right side
    3,268.92x = 9,130,493.24
  5. Step 5: Solve for x
    x = 9,130,493.24/3,268.92
  6. Step 6: Final answer
    x = 2,793.12

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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.