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Finding the Fourth Proportional to 1,522.80, 2,092.23 and 1,227.15

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Solution

The fourth proportional to 1,522.80, 2,092.23 and 1,227.15 is: 1,686.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.80 : 2,092.23 = 1,227.15 : x
  2. Step 2: Convert to fraction form
    1,522.80/2,092.23 = 1,227.15/x
  3. Step 3: Cross multiply
    1,522.80x = 2,092.23 × 1,227.15
  4. Step 4: Simplify right side
    1,522.80x = 2,567,480.04
  5. Step 5: Solve for x
    x = 2,567,480.04/1,522.80
  6. Step 6: Final answer
    x = 1,686.03

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.