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Finding the Fourth Proportional to 2,004.45, 3,006.83 and 543.58

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Solution

The fourth proportional to 2,004.45, 3,006.83 and 543.58 is: 815.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.45 : 3,006.83 = 543.58 : x
  2. Step 2: Convert to fraction form
    2,004.45/3,006.83 = 543.58/x
  3. Step 3: Cross multiply
    2,004.45x = 3,006.83 × 543.58
  4. Step 4: Simplify right side
    2,004.45x = 1,634,452.65
  5. Step 5: Solve for x
    x = 1,634,452.65/2,004.45
  6. Step 6: Final answer
    x = 815.41

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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.