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Finding the Fourth Proportional to 2,822.94, 4,217.08 and 2,036.22

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Solution

The fourth proportional to 2,822.94, 4,217.08 and 2,036.22 is: 3,041.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.94 : 4,217.08 = 2,036.22 : x
  2. Step 2: Convert to fraction form
    2,822.94/4,217.08 = 2,036.22/x
  3. Step 3: Cross multiply
    2,822.94x = 4,217.08 × 2,036.22
  4. Step 4: Simplify right side
    2,822.94x = 8,586,902.64
  5. Step 5: Solve for x
    x = 8,586,902.64/2,822.94
  6. Step 6: Final answer
    x = 3,041.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.