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Finding the Fourth Proportional to 3,171.64, 4,759.62 and 1,633.72

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Solution

The fourth proportional to 3,171.64, 4,759.62 and 1,633.72 is: 2,451.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.64 : 4,759.62 = 1,633.72 : x
  2. Step 2: Convert to fraction form
    3,171.64/4,759.62 = 1,633.72/x
  3. Step 3: Cross multiply
    3,171.64x = 4,759.62 × 1,633.72
  4. Step 4: Simplify right side
    3,171.64x = 7,775,886.39
  5. Step 5: Solve for x
    x = 7,775,886.39/3,171.64
  6. Step 6: Final answer
    x = 2,451.69

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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.