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Finding the Fourth Proportional to 2,546.51, 3,819.83 and 815.14

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Solution

The fourth proportional to 2,546.51, 3,819.83 and 815.14 is: 1,222.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.51 : 3,819.83 = 815.14 : x
  2. Step 2: Convert to fraction form
    2,546.51/3,819.83 = 815.14/x
  3. Step 3: Cross multiply
    2,546.51x = 3,819.83 × 815.14
  4. Step 4: Simplify right side
    2,546.51x = 3,113,673.05
  5. Step 5: Solve for x
    x = 3,113,673.05/2,546.51
  6. Step 6: Final answer
    x = 1,222.72

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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.