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Finding the Fourth Proportional to 1,932.72, 2,667.96 and 1,294.80

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Solution

The fourth proportional to 1,932.72, 2,667.96 and 1,294.80 is: 1,787.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.72 : 2,667.96 = 1,294.80 : x
  2. Step 2: Convert to fraction form
    1,932.72/2,667.96 = 1,294.80/x
  3. Step 3: Cross multiply
    1,932.72x = 2,667.96 × 1,294.80
  4. Step 4: Simplify right side
    1,932.72x = 3,454,474.61
  5. Step 5: Solve for x
    x = 3,454,474.61/1,932.72
  6. Step 6: Final answer
    x = 1,787.36

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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.