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Finding the Fourth Proportional to 2,173.54, 3,257.03 and 1,440.49

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Solution

The fourth proportional to 2,173.54, 3,257.03 and 1,440.49 is: 2,158.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.54 : 3,257.03 = 1,440.49 : x
  2. Step 2: Convert to fraction form
    2,173.54/3,257.03 = 1,440.49/x
  3. Step 3: Cross multiply
    2,173.54x = 3,257.03 × 1,440.49
  4. Step 4: Simplify right side
    2,173.54x = 4,691,711.94
  5. Step 5: Solve for x
    x = 4,691,711.94/2,173.54
  6. Step 6: Final answer
    x = 2,158.56

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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.