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Finding the Fourth Proportional to 2,687.86, 3,706.42 and 2,127.43

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Solution

The fourth proportional to 2,687.86, 3,706.42 and 2,127.43 is: 2,933.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.86 : 3,706.42 = 2,127.43 : x
  2. Step 2: Convert to fraction form
    2,687.86/3,706.42 = 2,127.43/x
  3. Step 3: Cross multiply
    2,687.86x = 3,706.42 × 2,127.43
  4. Step 4: Simplify right side
    2,687.86x = 7,885,149.10
  5. Step 5: Solve for x
    x = 7,885,149.10/2,687.86
  6. Step 6: Final answer
    x = 2,933.62

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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.