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Finding the Fourth Proportional to 2,694.92, 3,717.73 and 1,575.90

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Solution

The fourth proportional to 2,694.92, 3,717.73 and 1,575.90 is: 2,174.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.92 : 3,717.73 = 1,575.90 : x
  2. Step 2: Convert to fraction form
    2,694.92/3,717.73 = 1,575.90/x
  3. Step 3: Cross multiply
    2,694.92x = 3,717.73 × 1,575.90
  4. Step 4: Simplify right side
    2,694.92x = 5,858,770.71
  5. Step 5: Solve for x
    x = 5,858,770.71/2,694.92
  6. Step 6: Final answer
    x = 2,174.01

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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.