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Finding the Fourth Proportional to 2,623.67, 3,935.49 and 675.87

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Solution

The fourth proportional to 2,623.67, 3,935.49 and 675.87 is: 1,013.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,623.67 : 3,935.49 = 675.87 : x
  2. Step 2: Convert to fraction form
    2,623.67/3,935.49 = 675.87/x
  3. Step 3: Cross multiply
    2,623.67x = 3,935.49 × 675.87
  4. Step 4: Simplify right side
    2,623.67x = 2,659,879.63
  5. Step 5: Solve for x
    x = 2,659,879.63/2,623.67
  6. Step 6: Final answer
    x = 1,013.80

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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.