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Finding the Fourth Proportional to 2,172.28, 2,997.28 and 1,386.04

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Solution

The fourth proportional to 2,172.28, 2,997.28 and 1,386.04 is: 1,912.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.28 : 2,997.28 = 1,386.04 : x
  2. Step 2: Convert to fraction form
    2,172.28/2,997.28 = 1,386.04/x
  3. Step 3: Cross multiply
    2,172.28x = 2,997.28 × 1,386.04
  4. Step 4: Simplify right side
    2,172.28x = 4,154,349.97
  5. Step 5: Solve for x
    x = 4,154,349.97/2,172.28
  6. Step 6: Final answer
    x = 1,912.44

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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.