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Finding the Fourth Proportional to 3,086.80, 4,628.52 and 2,114

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Solution

The fourth proportional to 3,086.80, 4,628.52 and 2,114 is: 3,169.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.80 : 4,628.52 = 2,114 : x
  2. Step 2: Convert to fraction form
    3,086.80/4,628.52 = 2,114/x
  3. Step 3: Cross multiply
    3,086.80x = 4,628.52 × 2,114
  4. Step 4: Simplify right side
    3,086.80x = 9,784,691.28
  5. Step 5: Solve for x
    x = 9,784,691.28/3,086.80
  6. Step 6: Final answer
    x = 3,169.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.