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Finding the Fourth Proportional to 3,009.57, 4,514.33 and 818.29

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Solution

The fourth proportional to 3,009.57, 4,514.33 and 818.29 is: 1,227.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.57 : 4,514.33 = 818.29 : x
  2. Step 2: Convert to fraction form
    3,009.57/4,514.33 = 818.29/x
  3. Step 3: Cross multiply
    3,009.57x = 4,514.33 × 818.29
  4. Step 4: Simplify right side
    3,009.57x = 3,694,006.48
  5. Step 5: Solve for x
    x = 3,694,006.48/3,009.57
  6. Step 6: Final answer
    x = 1,227.42

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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.