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Finding the Fourth Proportional to 2,717.06, 3,749.10 and 1,537.88

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Solution

The fourth proportional to 2,717.06, 3,749.10 and 1,537.88 is: 2,122.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.06 : 3,749.10 = 1,537.88 : x
  2. Step 2: Convert to fraction form
    2,717.06/3,749.10 = 1,537.88/x
  3. Step 3: Cross multiply
    2,717.06x = 3,749.10 × 1,537.88
  4. Step 4: Simplify right side
    2,717.06x = 5,765,665.91
  5. Step 5: Solve for x
    x = 5,765,665.91/2,717.06
  6. Step 6: Final answer
    x = 2,122.02

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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.