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Finding the Fourth Proportional to 3,171.64, 4,376.61 and 1,755.08

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Solution

The fourth proportional to 3,171.64, 4,376.61 and 1,755.08 is: 2,421.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.64 : 4,376.61 = 1,755.08 : x
  2. Step 2: Convert to fraction form
    3,171.64/4,376.61 = 1,755.08/x
  3. Step 3: Cross multiply
    3,171.64x = 4,376.61 × 1,755.08
  4. Step 4: Simplify right side
    3,171.64x = 7,681,311.62
  5. Step 5: Solve for x
    x = 7,681,311.62/3,171.64
  6. Step 6: Final answer
    x = 2,421.88

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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.