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Finding the Fourth Proportional to 3,171.94, 4,376.76 and 1,992.18

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Solution

The fourth proportional to 3,171.94, 4,376.76 and 1,992.18 is: 2,748.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.94 : 4,376.76 = 1,992.18 : x
  2. Step 2: Convert to fraction form
    3,171.94/4,376.76 = 1,992.18/x
  3. Step 3: Cross multiply
    3,171.94x = 4,376.76 × 1,992.18
  4. Step 4: Simplify right side
    3,171.94x = 8,719,293.74
  5. Step 5: Solve for x
    x = 8,719,293.74/3,171.94
  6. Step 6: Final answer
    x = 2,748.88

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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.