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Finding the Fourth Proportional to 2,623.73, 3,935.61 and 675.90

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Solution

The fourth proportional to 2,623.73, 3,935.61 and 675.90 is: 1,013.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,623.73 : 3,935.61 = 675.90 : x
  2. Step 2: Convert to fraction form
    2,623.73/3,935.61 = 675.90/x
  3. Step 3: Cross multiply
    2,623.73x = 3,935.61 × 675.90
  4. Step 4: Simplify right side
    2,623.73x = 2,660,078.80
  5. Step 5: Solve for x
    x = 2,660,078.80/2,623.73
  6. Step 6: Final answer
    x = 1,013.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.