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Finding the Fourth Proportional to 3,175.64, 4,755.26 and 2,191.49

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Solution

The fourth proportional to 3,175.64, 4,755.26 and 2,191.49 is: 3,281.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.64 : 4,755.26 = 2,191.49 : x
  2. Step 2: Convert to fraction form
    3,175.64/4,755.26 = 2,191.49/x
  3. Step 3: Cross multiply
    3,175.64x = 4,755.26 × 2,191.49
  4. Step 4: Simplify right side
    3,175.64x = 10,421,104.74
  5. Step 5: Solve for x
    x = 10,421,104.74/3,175.64
  6. Step 6: Final answer
    x = 3,281.58

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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.