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Finding the Fourth Proportional to 2,714.27, 3,744.50 and 2,083.68

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Solution

The fourth proportional to 2,714.27, 3,744.50 and 2,083.68 is: 2,874.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.27 : 3,744.50 = 2,083.68 : x
  2. Step 2: Convert to fraction form
    2,714.27/3,744.50 = 2,083.68/x
  3. Step 3: Cross multiply
    2,714.27x = 3,744.50 × 2,083.68
  4. Step 4: Simplify right side
    2,714.27x = 7,802,329.34
  5. Step 5: Solve for x
    x = 7,802,329.34/2,714.27
  6. Step 6: Final answer
    x = 2,874.56

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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.