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Finding the Fourth Proportional to 1,910.20, 2,865.30 and 814.60

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Solution

The fourth proportional to 1,910.20, 2,865.30 and 814.60 is: 1,221.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,910.20 : 2,865.30 = 814.60 : x
  2. Step 2: Convert to fraction form
    1,910.20/2,865.30 = 814.60/x
  3. Step 3: Cross multiply
    1,910.20x = 2,865.30 × 814.60
  4. Step 4: Simplify right side
    1,910.20x = 2,334,073.38
  5. Step 5: Solve for x
    x = 2,334,073.38/1,910.20
  6. Step 6: Final answer
    x = 1,221.90

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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.