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Finding the Fourth Proportional to 1,227.98, 1,842.69 and 880.94

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Solution

The fourth proportional to 1,227.98, 1,842.69 and 880.94 is: 1,321.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.98 : 1,842.69 = 880.94 : x
  2. Step 2: Convert to fraction form
    1,227.98/1,842.69 = 880.94/x
  3. Step 3: Cross multiply
    1,227.98x = 1,842.69 × 880.94
  4. Step 4: Simplify right side
    1,227.98x = 1,623,299.33
  5. Step 5: Solve for x
    x = 1,623,299.33/1,227.98
  6. Step 6: Final answer
    x = 1,321.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.