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Finding the Fourth Proportional to 2,699.46, 3,717.09 and 2,305.62

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Solution

The fourth proportional to 2,699.46, 3,717.09 and 2,305.62 is: 3,174.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.46 : 3,717.09 = 2,305.62 : x
  2. Step 2: Convert to fraction form
    2,699.46/3,717.09 = 2,305.62/x
  3. Step 3: Cross multiply
    2,699.46x = 3,717.09 × 2,305.62
  4. Step 4: Simplify right side
    2,699.46x = 8,570,197.05
  5. Step 5: Solve for x
    x = 8,570,197.05/2,699.46
  6. Step 6: Final answer
    x = 3,174.78

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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.