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Finding the Fourth Proportional to 3,005.38, 4,508.25 and 814.29

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Solution

The fourth proportional to 3,005.38, 4,508.25 and 814.29 is: 1,221.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.38 : 4,508.25 = 814.29 : x
  2. Step 2: Convert to fraction form
    3,005.38/4,508.25 = 814.29/x
  3. Step 3: Cross multiply
    3,005.38x = 4,508.25 × 814.29
  4. Step 4: Simplify right side
    3,005.38x = 3,670,996.28
  5. Step 5: Solve for x
    x = 3,670,996.28/3,005.38
  6. Step 6: Final answer
    x = 1,221.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.