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Finding the Fourth Proportional to 2,005.88, 3,008.97 and 545.09

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Solution

The fourth proportional to 2,005.88, 3,008.97 and 545.09 is: 817.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.88 : 3,008.97 = 545.09 : x
  2. Step 2: Convert to fraction form
    2,005.88/3,008.97 = 545.09/x
  3. Step 3: Cross multiply
    2,005.88x = 3,008.97 × 545.09
  4. Step 4: Simplify right side
    2,005.88x = 1,640,144.41
  5. Step 5: Solve for x
    x = 1,640,144.41/2,005.88
  6. Step 6: Final answer
    x = 817.67

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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.