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Finding the Fourth Proportional to 2,714.14, 3,749.07 and 2,192.14

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Solution

The fourth proportional to 2,714.14, 3,749.07 and 2,192.14 is: 3,028.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.14 : 3,749.07 = 2,192.14 : x
  2. Step 2: Convert to fraction form
    2,714.14/3,749.07 = 2,192.14/x
  3. Step 3: Cross multiply
    2,714.14x = 3,749.07 × 2,192.14
  4. Step 4: Simplify right side
    2,714.14x = 8,218,486.31
  5. Step 5: Solve for x
    x = 8,218,486.31/2,714.14
  6. Step 6: Final answer
    x = 3,028.03

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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.