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Finding the Fourth Proportional to 2,004.77, 3,007.02 and 543.80

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Solution

The fourth proportional to 2,004.77, 3,007.02 and 543.80 is: 815.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.77 : 3,007.02 = 543.80 : x
  2. Step 2: Convert to fraction form
    2,004.77/3,007.02 = 543.80/x
  3. Step 3: Cross multiply
    2,004.77x = 3,007.02 × 543.80
  4. Step 4: Simplify right side
    2,004.77x = 1,635,217.48
  5. Step 5: Solve for x
    x = 1,635,217.48/2,004.77
  6. Step 6: Final answer
    x = 815.66

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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.