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Finding the Fourth Proportional to 3,069.30, 4,607.97 and 1,822.17

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Solution

The fourth proportional to 3,069.30, 4,607.97 and 1,822.17 is: 2,735.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.30 : 4,607.97 = 1,822.17 : x
  2. Step 2: Convert to fraction form
    3,069.30/4,607.97 = 1,822.17/x
  3. Step 3: Cross multiply
    3,069.30x = 4,607.97 × 1,822.17
  4. Step 4: Simplify right side
    3,069.30x = 8,396,504.69
  5. Step 5: Solve for x
    x = 8,396,504.69/3,069.30
  6. Step 6: Final answer
    x = 2,735.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.