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Finding the Fourth Proportional to 3,154.92, 4,353.48 and 1,738.44

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Solution

The fourth proportional to 3,154.92, 4,353.48 and 1,738.44 is: 2,398.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.92 : 4,353.48 = 1,738.44 : x
  2. Step 2: Convert to fraction form
    3,154.92/4,353.48 = 1,738.44/x
  3. Step 3: Cross multiply
    3,154.92x = 4,353.48 × 1,738.44
  4. Step 4: Simplify right side
    3,154.92x = 7,568,263.77
  5. Step 5: Solve for x
    x = 7,568,263.77/3,154.92
  6. Step 6: Final answer
    x = 2,398.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.