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Finding the Fourth Proportional to 2,004.23, 3,006.68 and 617.53

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Solution

The fourth proportional to 2,004.23, 3,006.68 and 617.53 is: 926.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.23 : 3,006.68 = 617.53 : x
  2. Step 2: Convert to fraction form
    2,004.23/3,006.68 = 617.53/x
  3. Step 3: Cross multiply
    2,004.23x = 3,006.68 × 617.53
  4. Step 4: Simplify right side
    2,004.23x = 1,856,715.10
  5. Step 5: Solve for x
    x = 1,856,715.10/2,004.23
  6. Step 6: Final answer
    x = 926.40

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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.