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Finding the Fourth Proportional to 3,182.60, 4,392.83 and 1,785.80

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Solution

The fourth proportional to 3,182.60, 4,392.83 and 1,785.80 is: 2,464.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.60 : 4,392.83 = 1,785.80 : x
  2. Step 2: Convert to fraction form
    3,182.60/4,392.83 = 1,785.80/x
  3. Step 3: Cross multiply
    3,182.60x = 4,392.83 × 1,785.80
  4. Step 4: Simplify right side
    3,182.60x = 7,844,717.87
  5. Step 5: Solve for x
    x = 7,844,717.87/3,182.60
  6. Step 6: Final answer
    x = 2,464.88

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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.