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Finding the Fourth Proportional to 3,311.54, 4,568.92 and 1,984.76

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Solution

The fourth proportional to 3,311.54, 4,568.92 and 1,984.76 is: 2,738.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.54 : 4,568.92 = 1,984.76 : x
  2. Step 2: Convert to fraction form
    3,311.54/4,568.92 = 1,984.76/x
  3. Step 3: Cross multiply
    3,311.54x = 4,568.92 × 1,984.76
  4. Step 4: Simplify right side
    3,311.54x = 9,068,209.66
  5. Step 5: Solve for x
    x = 9,068,209.66/3,311.54
  6. Step 6: Final answer
    x = 2,738.37

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Why These Related Problems?

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