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Finding the Fourth Proportional to 2,150.48, 3,224.12 and 688.78

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Solution

The fourth proportional to 2,150.48, 3,224.12 and 688.78 is: 1,032.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.48 : 3,224.12 = 688.78 : x
  2. Step 2: Convert to fraction form
    2,150.48/3,224.12 = 688.78/x
  3. Step 3: Cross multiply
    2,150.48x = 3,224.12 × 688.78
  4. Step 4: Simplify right side
    2,150.48x = 2,220,709.37
  5. Step 5: Solve for x
    x = 2,220,709.37/2,150.48
  6. Step 6: Final answer
    x = 1,032.66

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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.