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Finding the Fourth Proportional to 3,105.92, 4,652.72 and 2,011.05

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Solution

The fourth proportional to 3,105.92, 4,652.72 and 2,011.05 is: 3,012.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.92 : 4,652.72 = 2,011.05 : x
  2. Step 2: Convert to fraction form
    3,105.92/4,652.72 = 2,011.05/x
  3. Step 3: Cross multiply
    3,105.92x = 4,652.72 × 2,011.05
  4. Step 4: Simplify right side
    3,105.92x = 9,356,857.58
  5. Step 5: Solve for x
    x = 9,356,857.58/3,105.92
  6. Step 6: Final answer
    x = 3,012.59

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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.