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Finding the Fourth Proportional to 3,182.44, 4,392.42 and 1,785.64

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Solution

The fourth proportional to 3,182.44, 4,392.42 and 1,785.64 is: 2,464.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.44 : 4,392.42 = 1,785.64 : x
  2. Step 2: Convert to fraction form
    3,182.44/4,392.42 = 1,785.64/x
  3. Step 3: Cross multiply
    3,182.44x = 4,392.42 × 1,785.64
  4. Step 4: Simplify right side
    3,182.44x = 7,843,280.85
  5. Step 5: Solve for x
    x = 7,843,280.85/3,182.44
  6. Step 6: Final answer
    x = 2,464.55

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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.