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Finding the Fourth Proportional to 2,822.43, 3,892.82 and 2,472.51

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Solution

The fourth proportional to 2,822.43, 3,892.82 and 2,472.51 is: 3,410.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.43 : 3,892.82 = 2,472.51 : x
  2. Step 2: Convert to fraction form
    2,822.43/3,892.82 = 2,472.51/x
  3. Step 3: Cross multiply
    2,822.43x = 3,892.82 × 2,472.51
  4. Step 4: Simplify right side
    2,822.43x = 9,625,024.02
  5. Step 5: Solve for x
    x = 9,625,024.02/2,822.43
  6. Step 6: Final answer
    x = 3,410.19

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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.