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Finding the Fourth Proportional to 2,004.63, 3,007.29 and 617.94

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Solution

The fourth proportional to 2,004.63, 3,007.29 and 617.94 is: 927.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.63 : 3,007.29 = 617.94 : x
  2. Step 2: Convert to fraction form
    2,004.63/3,007.29 = 617.94/x
  3. Step 3: Cross multiply
    2,004.63x = 3,007.29 × 617.94
  4. Step 4: Simplify right side
    2,004.63x = 1,858,324.78
  5. Step 5: Solve for x
    x = 1,858,324.78/2,004.63
  6. Step 6: Final answer
    x = 927.02

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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.