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Finding the Fourth Proportional to 2,006.41, 3,009.59 and 545.56

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Solution

The fourth proportional to 2,006.41, 3,009.59 and 545.56 is: 818.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.41 : 3,009.59 = 545.56 : x
  2. Step 2: Convert to fraction form
    2,006.41/3,009.59 = 545.56/x
  3. Step 3: Cross multiply
    2,006.41x = 3,009.59 × 545.56
  4. Step 4: Simplify right side
    2,006.41x = 1,641,896.87
  5. Step 5: Solve for x
    x = 1,641,896.87/2,006.41
  6. Step 6: Final answer
    x = 818.33

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Why These Related Problems?

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