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Finding the Fourth Proportional to 2,649.38, 3,653.82 and 2,273.94

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Solution

The fourth proportional to 2,649.38, 3,653.82 and 2,273.94 is: 3,136.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.38 : 3,653.82 = 2,273.94 : x
  2. Step 2: Convert to fraction form
    2,649.38/3,653.82 = 2,273.94/x
  3. Step 3: Cross multiply
    2,649.38x = 3,653.82 × 2,273.94
  4. Step 4: Simplify right side
    2,649.38x = 8,308,567.45
  5. Step 5: Solve for x
    x = 8,308,567.45/2,649.38
  6. Step 6: Final answer
    x = 3,136.05

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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.