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Finding the Fourth Proportional to 2,004.70, 3,007.44 and 617.80

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Solution

The fourth proportional to 2,004.70, 3,007.44 and 617.80 is: 926.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.70 : 3,007.44 = 617.80 : x
  2. Step 2: Convert to fraction form
    2,004.70/3,007.44 = 617.80/x
  3. Step 3: Cross multiply
    2,004.70x = 3,007.44 × 617.80
  4. Step 4: Simplify right side
    2,004.70x = 1,857,988.91
  5. Step 5: Solve for x
    x = 1,857,988.91/2,004.70
  6. Step 6: Final answer
    x = 926.82

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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.