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Finding the Fourth Proportional to 2,172.52, 2,997.29 and 1,426.88

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Solution

The fourth proportional to 2,172.52, 2,997.29 and 1,426.88 is: 1,968.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.52 : 2,997.29 = 1,426.88 : x
  2. Step 2: Convert to fraction form
    2,172.52/2,997.29 = 1,426.88/x
  3. Step 3: Cross multiply
    2,172.52x = 2,997.29 × 1,426.88
  4. Step 4: Simplify right side
    2,172.52x = 4,276,751.03
  5. Step 5: Solve for x
    x = 4,276,751.03/2,172.52
  6. Step 6: Final answer
    x = 1,968.57

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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.