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Finding the Fourth Proportional to 2,822.40, 3,892.55 and 2,115.92

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Solution

The fourth proportional to 2,822.40, 3,892.55 and 2,115.92 is: 2,918.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.40 : 3,892.55 = 2,115.92 : x
  2. Step 2: Convert to fraction form
    2,822.40/3,892.55 = 2,115.92/x
  3. Step 3: Cross multiply
    2,822.40x = 3,892.55 × 2,115.92
  4. Step 4: Simplify right side
    2,822.40x = 8,236,323.55
  5. Step 5: Solve for x
    x = 8,236,323.55/2,822.40
  6. Step 6: Final answer
    x = 2,918.20

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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.