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Finding the Fourth Proportional to 1,227.70, 1,723.10 and 1,227.70

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Solution

The fourth proportional to 1,227.70, 1,723.10 and 1,227.70 is: 1,723.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.70 : 1,723.10 = 1,227.70 : x
  2. Step 2: Convert to fraction form
    1,227.70/1,723.10 = 1,227.70/x
  3. Step 3: Cross multiply
    1,227.70x = 1,723.10 × 1,227.70
  4. Step 4: Simplify right side
    1,227.70x = 2,115,449.87
  5. Step 5: Solve for x
    x = 2,115,449.87/1,227.70
  6. Step 6: Final answer
    x = 1,723.10

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.