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Finding the Fourth Proportional to 1,932.97, 2,667.49 and 1,048.78

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Solution

The fourth proportional to 1,932.97, 2,667.49 and 1,048.78 is: 1,447.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.97 : 2,667.49 = 1,048.78 : x
  2. Step 2: Convert to fraction form
    1,932.97/2,667.49 = 1,048.78/x
  3. Step 3: Cross multiply
    1,932.97x = 2,667.49 × 1,048.78
  4. Step 4: Simplify right side
    1,932.97x = 2,797,610.16
  5. Step 5: Solve for x
    x = 2,797,610.16/1,932.97
  6. Step 6: Final answer
    x = 1,447.31

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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.