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Finding the Fourth Proportional to 2,846.22, 3,930.22 and 1,785.78

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Solution

The fourth proportional to 2,846.22, 3,930.22 and 1,785.78 is: 2,465.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.22 : 3,930.22 = 1,785.78 : x
  2. Step 2: Convert to fraction form
    2,846.22/3,930.22 = 1,785.78/x
  3. Step 3: Cross multiply
    2,846.22x = 3,930.22 × 1,785.78
  4. Step 4: Simplify right side
    2,846.22x = 7,018,508.27
  5. Step 5: Solve for x
    x = 7,018,508.27/2,846.22
  6. Step 6: Final answer
    x = 2,465.91

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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.