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Finding the Fourth Proportional to 3,131.20, 4,687.20 and 2,785.60

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Solution

The fourth proportional to 3,131.20, 4,687.20 and 2,785.60 is: 4,169.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.20 : 4,687.20 = 2,785.60 : x
  2. Step 2: Convert to fraction form
    3,131.20/4,687.20 = 2,785.60/x
  3. Step 3: Cross multiply
    3,131.20x = 4,687.20 × 2,785.60
  4. Step 4: Simplify right side
    3,131.20x = 13,056,664.32
  5. Step 5: Solve for x
    x = 13,056,664.32/3,131.20
  6. Step 6: Final answer
    x = 4,169.86

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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.