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Finding the Fourth Proportional to 2,208.12, 3,312.18 and 669.12

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Solution

The fourth proportional to 2,208.12, 3,312.18 and 669.12 is: 1,003.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.12 : 3,312.18 = 669.12 : x
  2. Step 2: Convert to fraction form
    2,208.12/3,312.18 = 669.12/x
  3. Step 3: Cross multiply
    2,208.12x = 3,312.18 × 669.12
  4. Step 4: Simplify right side
    2,208.12x = 2,216,245.88
  5. Step 5: Solve for x
    x = 2,216,245.88/2,208.12
  6. Step 6: Final answer
    x = 1,003.68

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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.