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Finding the Fourth Proportional to 2,537.67, 3,805.49 and 976.80

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Solution

The fourth proportional to 2,537.67, 3,805.49 and 976.80 is: 1,464.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.67 : 3,805.49 = 976.80 : x
  2. Step 2: Convert to fraction form
    2,537.67/3,805.49 = 976.80/x
  3. Step 3: Cross multiply
    2,537.67x = 3,805.49 × 976.80
  4. Step 4: Simplify right side
    2,537.67x = 3,717,202.63
  5. Step 5: Solve for x
    x = 3,717,202.63/2,537.67
  6. Step 6: Final answer
    x = 1,464.81

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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.