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Finding the Fourth Proportional to 2,004.31, 3,006.10 and 543.28

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Solution

The fourth proportional to 2,004.31, 3,006.10 and 543.28 is: 814.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.31 : 3,006.10 = 543.28 : x
  2. Step 2: Convert to fraction form
    2,004.31/3,006.10 = 543.28/x
  3. Step 3: Cross multiply
    2,004.31x = 3,006.10 × 543.28
  4. Step 4: Simplify right side
    2,004.31x = 1,633,154.01
  5. Step 5: Solve for x
    x = 1,633,154.01/2,004.31
  6. Step 6: Final answer
    x = 814.82

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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.