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Finding the Fourth Proportional to 1,425.98, 1,963.31 and 1,257.79

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Solution

The fourth proportional to 1,425.98, 1,963.31 and 1,257.79 is: 1,731.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.98 : 1,963.31 = 1,257.79 : x
  2. Step 2: Convert to fraction form
    1,425.98/1,963.31 = 1,257.79/x
  3. Step 3: Cross multiply
    1,425.98x = 1,963.31 × 1,257.79
  4. Step 4: Simplify right side
    1,425.98x = 2,469,429.92
  5. Step 5: Solve for x
    x = 2,469,429.92/1,425.98
  6. Step 6: Final answer
    x = 1,731.74

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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.