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Finding the Fourth Proportional to 3,143.54, 4,338.13 and 1,727.27

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Solution

The fourth proportional to 3,143.54, 4,338.13 and 1,727.27 is: 2,383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.54 : 4,338.13 = 1,727.27 : x
  2. Step 2: Convert to fraction form
    3,143.54/4,338.13 = 1,727.27/x
  3. Step 3: Cross multiply
    3,143.54x = 4,338.13 × 1,727.27
  4. Step 4: Simplify right side
    3,143.54x = 7,493,095.80
  5. Step 5: Solve for x
    x = 7,493,095.80/3,143.54
  6. Step 6: Final answer
    x = 2,383.65

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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.