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Finding the Fourth Proportional to 2,687.68, 3,710.82 and 1,757.80

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Solution

The fourth proportional to 2,687.68, 3,710.82 and 1,757.80 is: 2,426.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.68 : 3,710.82 = 1,757.80 : x
  2. Step 2: Convert to fraction form
    2,687.68/3,710.82 = 1,757.80/x
  3. Step 3: Cross multiply
    2,687.68x = 3,710.82 × 1,757.80
  4. Step 4: Simplify right side
    2,687.68x = 6,522,879.40
  5. Step 5: Solve for x
    x = 6,522,879.40/2,687.68
  6. Step 6: Final answer
    x = 2,426.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.