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Finding the Fourth Proportional to 3,009.83, 4,514.75 and 818.56

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Solution

The fourth proportional to 3,009.83, 4,514.75 and 818.56 is: 1,227.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.83 : 4,514.75 = 818.56 : x
  2. Step 2: Convert to fraction form
    3,009.83/4,514.75 = 818.56/x
  3. Step 3: Cross multiply
    3,009.83x = 4,514.75 × 818.56
  4. Step 4: Simplify right side
    3,009.83x = 3,695,584.52
  5. Step 5: Solve for x
    x = 3,695,584.52/3,009.83
  6. Step 6: Final answer
    x = 1,227.84

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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.