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Finding the Fourth Proportional to 2,269.43, 3,404.71 and 1,099.99

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Solution

The fourth proportional to 2,269.43, 3,404.71 and 1,099.99 is: 1,650.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.43 : 3,404.71 = 1,099.99 : x
  2. Step 2: Convert to fraction form
    2,269.43/3,404.71 = 1,099.99/x
  3. Step 3: Cross multiply
    2,269.43x = 3,404.71 × 1,099.99
  4. Step 4: Simplify right side
    2,269.43x = 3,745,129.93
  5. Step 5: Solve for x
    x = 3,745,129.93/2,269.43
  6. Step 6: Final answer
    x = 1,650.25

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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.