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Finding the Fourth Proportional to 2,006.18, 3,009.28 and 545.48

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Solution

The fourth proportional to 2,006.18, 3,009.28 and 545.48 is: 818.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.18 : 3,009.28 = 545.48 : x
  2. Step 2: Convert to fraction form
    2,006.18/3,009.28 = 545.48/x
  3. Step 3: Cross multiply
    2,006.18x = 3,009.28 × 545.48
  4. Step 4: Simplify right side
    2,006.18x = 1,641,502.05
  5. Step 5: Solve for x
    x = 1,641,502.05/2,006.18
  6. Step 6: Final answer
    x = 818.22

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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.