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Finding the Fourth Proportional to 2,003.23, 3,004.95 and 617.52

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Solution

The fourth proportional to 2,003.23, 3,004.95 and 617.52 is: 926.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.23 : 3,004.95 = 617.52 : x
  2. Step 2: Convert to fraction form
    2,003.23/3,004.95 = 617.52/x
  3. Step 3: Cross multiply
    2,003.23x = 3,004.95 × 617.52
  4. Step 4: Simplify right side
    2,003.23x = 1,855,619.04
  5. Step 5: Solve for x
    x = 1,855,619.04/2,003.23
  6. Step 6: Final answer
    x = 926.31

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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.