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Finding the Fourth Proportional to 2,004.18, 3,006.28 and 543.48

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Solution

The fourth proportional to 2,004.18, 3,006.28 and 543.48 is: 815.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.18 : 3,006.28 = 543.48 : x
  2. Step 2: Convert to fraction form
    2,004.18/3,006.28 = 543.48/x
  3. Step 3: Cross multiply
    2,004.18x = 3,006.28 × 543.48
  4. Step 4: Simplify right side
    2,004.18x = 1,633,853.05
  5. Step 5: Solve for x
    x = 1,633,853.05/2,004.18
  6. Step 6: Final answer
    x = 815.22

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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.