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Finding the Fourth Proportional to 2,150.04, 3,224.73 and 688.99

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Solution

The fourth proportional to 2,150.04, 3,224.73 and 688.99 is: 1,033.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.04 : 3,224.73 = 688.99 : x
  2. Step 2: Convert to fraction form
    2,150.04/3,224.73 = 688.99/x
  3. Step 3: Cross multiply
    2,150.04x = 3,224.73 × 688.99
  4. Step 4: Simplify right side
    2,150.04x = 2,221,806.72
  5. Step 5: Solve for x
    x = 2,221,806.72/2,150.04
  6. Step 6: Final answer
    x = 1,033.38

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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.