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Finding the Fourth Proportional to 2,006.43, 3,009.42 and 545.73

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Solution

The fourth proportional to 2,006.43, 3,009.42 and 545.73 is: 818.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.43 : 3,009.42 = 545.73 : x
  2. Step 2: Convert to fraction form
    2,006.43/3,009.42 = 545.73/x
  3. Step 3: Cross multiply
    2,006.43x = 3,009.42 × 545.73
  4. Step 4: Simplify right side
    2,006.43x = 1,642,330.78
  5. Step 5: Solve for x
    x = 1,642,330.78/2,006.43
  6. Step 6: Final answer
    x = 818.53

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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.