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Finding the Fourth Proportional to 2,537.70, 3,805.02 and 1,366.62

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Solution

The fourth proportional to 2,537.70, 3,805.02 and 1,366.62 is: 2,049.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.70 : 3,805.02 = 1,366.62 : x
  2. Step 2: Convert to fraction form
    2,537.70/3,805.02 = 1,366.62/x
  3. Step 3: Cross multiply
    2,537.70x = 3,805.02 × 1,366.62
  4. Step 4: Simplify right side
    2,537.70x = 5,200,016.43
  5. Step 5: Solve for x
    x = 5,200,016.43/2,537.70
  6. Step 6: Final answer
    x = 2,049.11

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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.