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Finding the Fourth Proportional to 2,785.44, 3,841.70 and 1,790.82

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Solution

The fourth proportional to 2,785.44, 3,841.70 and 1,790.82 is: 2,469.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.44 : 3,841.70 = 1,790.82 : x
  2. Step 2: Convert to fraction form
    2,785.44/3,841.70 = 1,790.82/x
  3. Step 3: Cross multiply
    2,785.44x = 3,841.70 × 1,790.82
  4. Step 4: Simplify right side
    2,785.44x = 6,879,784.24
  5. Step 5: Solve for x
    x = 6,879,784.24/2,785.44
  6. Step 6: Final answer
    x = 2,469.91

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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.