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Finding the Fourth Proportional to 3,171.76, 4,376.88 and 1,755.44

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Solution

The fourth proportional to 3,171.76, 4,376.88 and 1,755.44 is: 2,422.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.76 : 4,376.88 = 1,755.44 : x
  2. Step 2: Convert to fraction form
    3,171.76/4,376.88 = 1,755.44/x
  3. Step 3: Cross multiply
    3,171.76x = 4,376.88 × 1,755.44
  4. Step 4: Simplify right side
    3,171.76x = 7,683,350.23
  5. Step 5: Solve for x
    x = 7,683,350.23/3,171.76
  6. Step 6: Final answer
    x = 2,422.42

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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.