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Finding the Fourth Proportional to 2,113.29, 3,171.15 and 814.86

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Solution

The fourth proportional to 2,113.29, 3,171.15 and 814.86 is: 1,222.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.29 : 3,171.15 = 814.86 : x
  2. Step 2: Convert to fraction form
    2,113.29/3,171.15 = 814.86/x
  3. Step 3: Cross multiply
    2,113.29x = 3,171.15 × 814.86
  4. Step 4: Simplify right side
    2,113.29x = 2,584,043.29
  5. Step 5: Solve for x
    x = 2,584,043.29/2,113.29
  6. Step 6: Final answer
    x = 1,222.76

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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.