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Finding the Fourth Proportional to 3,171.49, 4,376.52 and 1,755.23

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Solution

The fourth proportional to 3,171.49, 4,376.52 and 1,755.23 is: 2,422.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.49 : 4,376.52 = 1,755.23 : x
  2. Step 2: Convert to fraction form
    3,171.49/4,376.52 = 1,755.23/x
  3. Step 3: Cross multiply
    3,171.49x = 4,376.52 × 1,755.23
  4. Step 4: Simplify right side
    3,171.49x = 7,681,799.20
  5. Step 5: Solve for x
    x = 7,681,799.20/3,171.49
  6. Step 6: Final answer
    x = 2,422.14

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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.