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Finding the Fourth Proportional to 2,172.83, 2,996.49 and 1,427.17

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Solution

The fourth proportional to 2,172.83, 2,996.49 and 1,427.17 is: 1,968.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.83 : 2,996.49 = 1,427.17 : x
  2. Step 2: Convert to fraction form
    2,172.83/2,996.49 = 1,427.17/x
  3. Step 3: Cross multiply
    2,172.83x = 2,996.49 × 1,427.17
  4. Step 4: Simplify right side
    2,172.83x = 4,276,504.11
  5. Step 5: Solve for x
    x = 4,276,504.11/2,172.83
  6. Step 6: Final answer
    x = 1,968.18

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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.