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Finding the Fourth Proportional to 3,288, 4,537.74 and 1,891.02

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Solution

The fourth proportional to 3,288, 4,537.74 and 1,891.02 is: 2,609.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288 : 4,537.74 = 1,891.02 : x
  2. Step 2: Convert to fraction form
    3,288/4,537.74 = 1,891.02/x
  3. Step 3: Cross multiply
    3,288x = 4,537.74 × 1,891.02
  4. Step 4: Simplify right side
    3,288x = 8,580,957.09
  5. Step 5: Solve for x
    x = 8,580,957.09/3,288
  6. Step 6: Final answer
    x = 2,609.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.