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Finding the Fourth Proportional to 2,171.90, 2,997.25 and 1,275.50

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Solution

The fourth proportional to 2,171.90, 2,997.25 and 1,275.50 is: 1,760.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.90 : 2,997.25 = 1,275.50 : x
  2. Step 2: Convert to fraction form
    2,171.90/2,997.25 = 1,275.50/x
  3. Step 3: Cross multiply
    2,171.90x = 2,997.25 × 1,275.50
  4. Step 4: Simplify right side
    2,171.90x = 3,822,996.68
  5. Step 5: Solve for x
    x = 3,822,996.68/2,171.90
  6. Step 6: Final answer
    x = 1,760.21

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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.