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Finding the Fourth Proportional to 2,687.68, 4,029.49 and 1,763.47

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Solution

The fourth proportional to 2,687.68, 4,029.49 and 1,763.47 is: 2,643.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.68 : 4,029.49 = 1,763.47 : x
  2. Step 2: Convert to fraction form
    2,687.68/4,029.49 = 1,763.47/x
  3. Step 3: Cross multiply
    2,687.68x = 4,029.49 × 1,763.47
  4. Step 4: Simplify right side
    2,687.68x = 7,105,884.73
  5. Step 5: Solve for x
    x = 7,105,884.73/2,687.68
  6. Step 6: Final answer
    x = 2,643.87

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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.