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Finding the Fourth Proportional to 2,004.88, 3,007.23 and 543.94

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Solution

The fourth proportional to 2,004.88, 3,007.23 and 543.94 is: 815.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.88 : 3,007.23 = 543.94 : x
  2. Step 2: Convert to fraction form
    2,004.88/3,007.23 = 543.94/x
  3. Step 3: Cross multiply
    2,004.88x = 3,007.23 × 543.94
  4. Step 4: Simplify right side
    2,004.88x = 1,635,752.69
  5. Step 5: Solve for x
    x = 1,635,752.69/2,004.88
  6. Step 6: Final answer
    x = 815.89

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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.