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Finding the Fourth Proportional to 2,113.38, 3,170.25 and 814.14

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Solution

The fourth proportional to 2,113.38, 3,170.25 and 814.14 is: 1,221.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.38 : 3,170.25 = 814.14 : x
  2. Step 2: Convert to fraction form
    2,113.38/3,170.25 = 814.14/x
  3. Step 3: Cross multiply
    2,113.38x = 3,170.25 × 814.14
  4. Step 4: Simplify right side
    2,113.38x = 2,581,027.34
  5. Step 5: Solve for x
    x = 2,581,027.34/2,113.38
  6. Step 6: Final answer
    x = 1,221.28

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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.