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Finding the Fourth Proportional to 2,006.82, 3,009.87 and 545.64

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Solution

The fourth proportional to 2,006.82, 3,009.87 and 545.64 is: 818.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.82 : 3,009.87 = 545.64 : x
  2. Step 2: Convert to fraction form
    2,006.82/3,009.87 = 545.64/x
  3. Step 3: Cross multiply
    2,006.82x = 3,009.87 × 545.64
  4. Step 4: Simplify right side
    2,006.82x = 1,642,305.47
  5. Step 5: Solve for x
    x = 1,642,305.47/2,006.82
  6. Step 6: Final answer
    x = 818.36

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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.