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Finding the Fourth Proportional to 1,911.08, 2,865.90 and 814.76

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Solution

The fourth proportional to 1,911.08, 2,865.90 and 814.76 is: 1,221.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.08 : 2,865.90 = 814.76 : x
  2. Step 2: Convert to fraction form
    1,911.08/2,865.90 = 814.76/x
  3. Step 3: Cross multiply
    1,911.08x = 2,865.90 × 814.76
  4. Step 4: Simplify right side
    1,911.08x = 2,335,020.68
  5. Step 5: Solve for x
    x = 2,335,020.68/1,911.08
  6. Step 6: Final answer
    x = 1,221.83

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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.