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Finding the Fourth Proportional to 2,553.70, 3,830.40 and 822.18

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Solution

The fourth proportional to 2,553.70, 3,830.40 and 822.18 is: 1,233.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.70 : 3,830.40 = 822.18 : x
  2. Step 2: Convert to fraction form
    2,553.70/3,830.40 = 822.18/x
  3. Step 3: Cross multiply
    2,553.70x = 3,830.40 × 822.18
  4. Step 4: Simplify right side
    2,553.70x = 3,149,278.27
  5. Step 5: Solve for x
    x = 3,149,278.27/2,553.70
  6. Step 6: Final answer
    x = 1,233.22

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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.