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Finding the Fourth Proportional to 2,172.62, 2,996.16 and 1,427.22

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Solution

The fourth proportional to 2,172.62, 2,996.16 and 1,427.22 is: 1,968.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.62 : 2,996.16 = 1,427.22 : x
  2. Step 2: Convert to fraction form
    2,172.62/2,996.16 = 1,427.22/x
  3. Step 3: Cross multiply
    2,172.62x = 2,996.16 × 1,427.22
  4. Step 4: Simplify right side
    2,172.62x = 4,276,179.48
  5. Step 5: Solve for x
    x = 4,276,179.48/2,172.62
  6. Step 6: Final answer
    x = 1,968.22

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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.