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Finding the Fourth Proportional to 2,172.65, 2,997.14 and 1,275.75

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Solution

The fourth proportional to 2,172.65, 2,997.14 and 1,275.75 is: 1,759.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.65 : 2,997.14 = 1,275.75 : x
  2. Step 2: Convert to fraction form
    2,172.65/2,997.14 = 1,275.75/x
  3. Step 3: Cross multiply
    2,172.65x = 2,997.14 × 1,275.75
  4. Step 4: Simplify right side
    2,172.65x = 3,823,594.98
  5. Step 5: Solve for x
    x = 3,823,594.98/2,172.65
  6. Step 6: Final answer
    x = 1,759.88

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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.