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Finding the Fourth Proportional to 2,003.94, 3,006.32 and 617.42

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Solution

The fourth proportional to 2,003.94, 3,006.32 and 617.42 is: 926.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.94 : 3,006.32 = 617.42 : x
  2. Step 2: Convert to fraction form
    2,003.94/3,006.32 = 617.42/x
  3. Step 3: Cross multiply
    2,003.94x = 3,006.32 × 617.42
  4. Step 4: Simplify right side
    2,003.94x = 1,856,166.52
  5. Step 5: Solve for x
    x = 1,856,166.52/2,003.94
  6. Step 6: Final answer
    x = 926.26

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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.