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Finding the Fourth Proportional to 2,208.12, 3,315.84 and 2,208.12

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Solution

The fourth proportional to 2,208.12, 3,315.84 and 2,208.12 is: 3,315.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.12 : 3,315.84 = 2,208.12 : x
  2. Step 2: Convert to fraction form
    2,208.12/3,315.84 = 2,208.12/x
  3. Step 3: Cross multiply
    2,208.12x = 3,315.84 × 2,208.12
  4. Step 4: Simplify right side
    2,208.12x = 7,321,772.62
  5. Step 5: Solve for x
    x = 7,321,772.62/2,208.12
  6. Step 6: Final answer
    x = 3,315.84

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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.