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Finding the Fourth Proportional to 2,764.38, 3,814.86 and 1,505.44

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Solution

The fourth proportional to 2,764.38, 3,814.86 and 1,505.44 is: 2,077.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.38 : 3,814.86 = 1,505.44 : x
  2. Step 2: Convert to fraction form
    2,764.38/3,814.86 = 1,505.44/x
  3. Step 3: Cross multiply
    2,764.38x = 3,814.86 × 1,505.44
  4. Step 4: Simplify right side
    2,764.38x = 5,743,053.25
  5. Step 5: Solve for x
    x = 5,743,053.25/2,764.38
  6. Step 6: Final answer
    x = 2,077.52

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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.