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Finding the Fourth Proportional to 2,006.06, 3,009.08 and 545.21

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Solution

The fourth proportional to 2,006.06, 3,009.08 and 545.21 is: 817.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.06 : 3,009.08 = 545.21 : x
  2. Step 2: Convert to fraction form
    2,006.06/3,009.08 = 545.21/x
  3. Step 3: Cross multiply
    2,006.06x = 3,009.08 × 545.21
  4. Step 4: Simplify right side
    2,006.06x = 1,640,580.51
  5. Step 5: Solve for x
    x = 1,640,580.51/2,006.06
  6. Step 6: Final answer
    x = 817.81

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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.