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Finding the Fourth Proportional to 2,785.58, 3,841.96 and 2,039.27

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Solution

The fourth proportional to 2,785.58, 3,841.96 and 2,039.27 is: 2,812.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.58 : 3,841.96 = 2,039.27 : x
  2. Step 2: Convert to fraction form
    2,785.58/3,841.96 = 2,039.27/x
  3. Step 3: Cross multiply
    2,785.58x = 3,841.96 × 2,039.27
  4. Step 4: Simplify right side
    2,785.58x = 7,834,764.36
  5. Step 5: Solve for x
    x = 7,834,764.36/2,785.58
  6. Step 6: Final answer
    x = 2,812.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.