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Finding the Fourth Proportional to 2,149.27, 3,223.53 and 688.23

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Solution

The fourth proportional to 2,149.27, 3,223.53 and 688.23 is: 1,032.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.27 : 3,223.53 = 688.23 : x
  2. Step 2: Convert to fraction form
    2,149.27/3,223.53 = 688.23/x
  3. Step 3: Cross multiply
    2,149.27x = 3,223.53 × 688.23
  4. Step 4: Simplify right side
    2,149.27x = 2,218,530.05
  5. Step 5: Solve for x
    x = 2,218,530.05/2,149.27
  6. Step 6: Final answer
    x = 1,032.23

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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.