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Finding the Fourth Proportional to 2,785.63, 3,845.16 and 1,900.80

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Solution

The fourth proportional to 2,785.63, 3,845.16 and 1,900.80 is: 2,623.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.63 : 3,845.16 = 1,900.80 : x
  2. Step 2: Convert to fraction form
    2,785.63/3,845.16 = 1,900.80/x
  3. Step 3: Cross multiply
    2,785.63x = 3,845.16 × 1,900.80
  4. Step 4: Simplify right side
    2,785.63x = 7,308,860.90
  5. Step 5: Solve for x
    x = 7,308,860.90/2,785.63
  6. Step 6: Final answer
    x = 2,623.78

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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.