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Finding the Fourth Proportional to 2,564.83, 3,843.81 and 1,376.42

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Solution

The fourth proportional to 2,564.83, 3,843.81 and 1,376.42 is: 2,062.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.83 : 3,843.81 = 1,376.42 : x
  2. Step 2: Convert to fraction form
    2,564.83/3,843.81 = 1,376.42/x
  3. Step 3: Cross multiply
    2,564.83x = 3,843.81 × 1,376.42
  4. Step 4: Simplify right side
    2,564.83x = 5,290,696.96
  5. Step 5: Solve for x
    x = 5,290,696.96/2,564.83
  6. Step 6: Final answer
    x = 2,062.79

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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.