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Finding the Fourth Proportional to 2,822.92, 4,235.22 and 1,362.16

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Solution

The fourth proportional to 2,822.92, 4,235.22 and 1,362.16 is: 2,043.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.92 : 4,235.22 = 1,362.16 : x
  2. Step 2: Convert to fraction form
    2,822.92/4,235.22 = 1,362.16/x
  3. Step 3: Cross multiply
    2,822.92x = 4,235.22 × 1,362.16
  4. Step 4: Simplify right side
    2,822.92x = 5,769,047.28
  5. Step 5: Solve for x
    x = 5,769,047.28/2,822.92
  6. Step 6: Final answer
    x = 2,043.65

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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.