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Finding the Fourth Proportional to 2,554.27, 3,830.49 and 822.89

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Solution

The fourth proportional to 2,554.27, 3,830.49 and 822.89 is: 1,234.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554.27 : 3,830.49 = 822.89 : x
  2. Step 2: Convert to fraction form
    2,554.27/3,830.49 = 822.89/x
  3. Step 3: Cross multiply
    2,554.27x = 3,830.49 × 822.89
  4. Step 4: Simplify right side
    2,554.27x = 3,152,081.49
  5. Step 5: Solve for x
    x = 3,152,081.49/2,554.27
  6. Step 6: Final answer
    x = 1,234.05

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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.