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Finding the Fourth Proportional to 2,669.62, 4,003.41 and 1,282.09

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Solution

The fourth proportional to 2,669.62, 4,003.41 and 1,282.09 is: 1,922.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.62 : 4,003.41 = 1,282.09 : x
  2. Step 2: Convert to fraction form
    2,669.62/4,003.41 = 1,282.09/x
  3. Step 3: Cross multiply
    2,669.62x = 4,003.41 × 1,282.09
  4. Step 4: Simplify right side
    2,669.62x = 5,132,731.93
  5. Step 5: Solve for x
    x = 5,132,731.93/2,669.62
  6. Step 6: Final answer
    x = 1,922.65

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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.