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Finding the Fourth Proportional to 2,270.46, 3,406.72 and 1,099.82

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Solution

The fourth proportional to 2,270.46, 3,406.72 and 1,099.82 is: 1,650.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.46 : 3,406.72 = 1,099.82 : x
  2. Step 2: Convert to fraction form
    2,270.46/3,406.72 = 1,099.82/x
  3. Step 3: Cross multiply
    2,270.46x = 3,406.72 × 1,099.82
  4. Step 4: Simplify right side
    2,270.46x = 3,746,778.79
  5. Step 5: Solve for x
    x = 3,746,778.79/2,270.46
  6. Step 6: Final answer
    x = 1,650.23

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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.