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Finding the Fourth Proportional to 2,965.12, 4,448 and 1,669.12

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Solution

The fourth proportional to 2,965.12, 4,448 and 1,669.12 is: 2,503.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.12 : 4,448 = 1,669.12 : x
  2. Step 2: Convert to fraction form
    2,965.12/4,448 = 1,669.12/x
  3. Step 3: Cross multiply
    2,965.12x = 4,448 × 1,669.12
  4. Step 4: Simplify right side
    2,965.12x = 7,424,245.76
  5. Step 5: Solve for x
    x = 7,424,245.76/2,965.12
  6. Step 6: Final answer
    x = 2,503.86

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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.