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Finding the Fourth Proportional to 2,822.18, 3,892.47 and 2,472.26

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Solution

The fourth proportional to 2,822.18, 3,892.47 and 2,472.26 is: 3,409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.18 : 3,892.47 = 2,472.26 : x
  2. Step 2: Convert to fraction form
    2,822.18/3,892.47 = 2,472.26/x
  3. Step 3: Cross multiply
    2,822.18x = 3,892.47 × 2,472.26
  4. Step 4: Simplify right side
    2,822.18x = 9,623,197.88
  5. Step 5: Solve for x
    x = 9,623,197.88/2,822.18
  6. Step 6: Final answer
    x = 3,409.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.