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Finding the Fourth Proportional to 2,006.38, 3,009.54 and 545.53

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Solution

The fourth proportional to 2,006.38, 3,009.54 and 545.53 is: 818.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.38 : 3,009.54 = 545.53 : x
  2. Step 2: Convert to fraction form
    2,006.38/3,009.54 = 545.53/x
  3. Step 3: Cross multiply
    2,006.38x = 3,009.54 × 545.53
  4. Step 4: Simplify right side
    2,006.38x = 1,641,794.36
  5. Step 5: Solve for x
    x = 1,641,794.36/2,006.38
  6. Step 6: Final answer
    x = 818.29

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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.