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Finding the Fourth Proportional to 2,546.17, 3,819.24 and 814.79

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Solution

The fourth proportional to 2,546.17, 3,819.24 and 814.79 is: 1,222.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.17 : 3,819.24 = 814.79 : x
  2. Step 2: Convert to fraction form
    2,546.17/3,819.24 = 814.79/x
  3. Step 3: Cross multiply
    2,546.17x = 3,819.24 × 814.79
  4. Step 4: Simplify right side
    2,546.17x = 3,111,888.11
  5. Step 5: Solve for x
    x = 3,111,888.11/2,546.17
  6. Step 6: Final answer
    x = 1,222.19

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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.