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Finding the Fourth Proportional to 2,113.67, 3,169.89 and 814.83

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Solution

The fourth proportional to 2,113.67, 3,169.89 and 814.83 is: 1,222.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.67 : 3,169.89 = 814.83 : x
  2. Step 2: Convert to fraction form
    2,113.67/3,169.89 = 814.83/x
  3. Step 3: Cross multiply
    2,113.67x = 3,169.89 × 814.83
  4. Step 4: Simplify right side
    2,113.67x = 2,582,917.39
  5. Step 5: Solve for x
    x = 2,582,917.39/2,113.67
  6. Step 6: Final answer
    x = 1,222.01

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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.