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Finding the Fourth Proportional to 3,173.82, 4,379.64 and 1,757.50

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Solution

The fourth proportional to 3,173.82, 4,379.64 and 1,757.50 is: 2,425.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.82 : 4,379.64 = 1,757.50 : x
  2. Step 2: Convert to fraction form
    3,173.82/4,379.64 = 1,757.50/x
  3. Step 3: Cross multiply
    3,173.82x = 4,379.64 × 1,757.50
  4. Step 4: Simplify right side
    3,173.82x = 7,697,217.30
  5. Step 5: Solve for x
    x = 7,697,217.30/3,173.82
  6. Step 6: Final answer
    x = 2,425.22

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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.