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Finding the Fourth Proportional to 2,004.54, 3,007.10 and 617.99

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Solution

The fourth proportional to 2,004.54, 3,007.10 and 617.99 is: 927.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.54 : 3,007.10 = 617.99 : x
  2. Step 2: Convert to fraction form
    2,004.54/3,007.10 = 617.99/x
  3. Step 3: Cross multiply
    2,004.54x = 3,007.10 × 617.99
  4. Step 4: Simplify right side
    2,004.54x = 1,858,354.64
  5. Step 5: Solve for x
    x = 1,858,354.64/2,004.54
  6. Step 6: Final answer
    x = 927.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.