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Finding the Fourth Proportional to 2,006.15, 3,008.75 and 545.31

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Solution

The fourth proportional to 2,006.15, 3,008.75 and 545.31 is: 817.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.15 : 3,008.75 = 545.31 : x
  2. Step 2: Convert to fraction form
    2,006.15/3,008.75 = 545.31/x
  3. Step 3: Cross multiply
    2,006.15x = 3,008.75 × 545.31
  4. Step 4: Simplify right side
    2,006.15x = 1,640,698.74
  5. Step 5: Solve for x
    x = 1,640,698.74/2,006.15
  6. Step 6: Final answer
    x = 817.84

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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.