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Finding the Fourth Proportional to 2,383.75, 3,288.92 and 1,544.49

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Solution

The fourth proportional to 2,383.75, 3,288.92 and 1,544.49 is: 2,130.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.75 : 3,288.92 = 1,544.49 : x
  2. Step 2: Convert to fraction form
    2,383.75/3,288.92 = 1,544.49/x
  3. Step 3: Cross multiply
    2,383.75x = 3,288.92 × 1,544.49
  4. Step 4: Simplify right side
    2,383.75x = 5,079,696.33
  5. Step 5: Solve for x
    x = 5,079,696.33/2,383.75
  6. Step 6: Final answer
    x = 2,130.97

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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.