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Finding the Fourth Proportional to 3,440.53, 5,161.81 and 1,687.49

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Solution

The fourth proportional to 3,440.53, 5,161.81 and 1,687.49 is: 2,531.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.53 : 5,161.81 = 1,687.49 : x
  2. Step 2: Convert to fraction form
    3,440.53/5,161.81 = 1,687.49/x
  3. Step 3: Cross multiply
    3,440.53x = 5,161.81 × 1,687.49
  4. Step 4: Simplify right side
    3,440.53x = 8,710,502.76
  5. Step 5: Solve for x
    x = 8,710,502.76/3,440.53
  6. Step 6: Final answer
    x = 2,531.73

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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.