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Finding the Fourth Proportional to 2,004.63, 3,007.33 and 617.72

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Solution

The fourth proportional to 2,004.63, 3,007.33 and 617.72 is: 926.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.63 : 3,007.33 = 617.72 : x
  2. Step 2: Convert to fraction form
    2,004.63/3,007.33 = 617.72/x
  3. Step 3: Cross multiply
    2,004.63x = 3,007.33 × 617.72
  4. Step 4: Simplify right side
    2,004.63x = 1,857,687.89
  5. Step 5: Solve for x
    x = 1,857,687.89/2,004.63
  6. Step 6: Final answer
    x = 926.70

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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.