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Finding the Fourth Proportional to 2,004.22, 3,006.75 and 687.92

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Solution

The fourth proportional to 2,004.22, 3,006.75 and 687.92 is: 1,032.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.22 : 3,006.75 = 687.92 : x
  2. Step 2: Convert to fraction form
    2,004.22/3,006.75 = 687.92/x
  3. Step 3: Cross multiply
    2,004.22x = 3,006.75 × 687.92
  4. Step 4: Simplify right side
    2,004.22x = 2,068,410.98
  5. Step 5: Solve for x
    x = 2,068,410.98/2,004.22
  6. Step 6: Final answer
    x = 1,032.03

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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.