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Finding the Fourth Proportional to 2,738.92, 4,109.76 and 1,096.64

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Solution

The fourth proportional to 2,738.92, 4,109.76 and 1,096.64 is: 1,645.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.92 : 4,109.76 = 1,096.64 : x
  2. Step 2: Convert to fraction form
    2,738.92/4,109.76 = 1,096.64/x
  3. Step 3: Cross multiply
    2,738.92x = 4,109.76 × 1,096.64
  4. Step 4: Simplify right side
    2,738.92x = 4,506,927.21
  5. Step 5: Solve for x
    x = 4,506,927.21/2,738.92
  6. Step 6: Final answer
    x = 1,645.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.