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Finding the Fourth Proportional to 2,006.06, 3,009.28 and 545.22

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Solution

The fourth proportional to 2,006.06, 3,009.28 and 545.22 is: 817.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.06 : 3,009.28 = 545.22 : x
  2. Step 2: Convert to fraction form
    2,006.06/3,009.28 = 545.22/x
  3. Step 3: Cross multiply
    2,006.06x = 3,009.28 × 545.22
  4. Step 4: Simplify right side
    2,006.06x = 1,640,719.64
  5. Step 5: Solve for x
    x = 1,640,719.64/2,006.06
  6. Step 6: Final answer
    x = 817.88

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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.