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Finding the Fourth Proportional to 3,168.25, 4,372.40 and 1,771

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Solution

The fourth proportional to 3,168.25, 4,372.40 and 1,771 is: 2,444.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168.25 : 4,372.40 = 1,771 : x
  2. Step 2: Convert to fraction form
    3,168.25/4,372.40 = 1,771/x
  3. Step 3: Cross multiply
    3,168.25x = 4,372.40 × 1,771
  4. Step 4: Simplify right side
    3,168.25x = 7,743,520.40
  5. Step 5: Solve for x
    x = 7,743,520.40/3,168.25
  6. Step 6: Final answer
    x = 2,444.10

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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.