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Finding the Fourth Proportional to 2,546.84, 3,820.66 and 1,086

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Solution

The fourth proportional to 2,546.84, 3,820.66 and 1,086 is: 1,629.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.84 : 3,820.66 = 1,086 : x
  2. Step 2: Convert to fraction form
    2,546.84/3,820.66 = 1,086/x
  3. Step 3: Cross multiply
    2,546.84x = 3,820.66 × 1,086
  4. Step 4: Simplify right side
    2,546.84x = 4,149,236.76
  5. Step 5: Solve for x
    x = 4,149,236.76/2,546.84
  6. Step 6: Final answer
    x = 1,629.17

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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.