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Finding the Fourth Proportional to 2,295.55, 3,441.39 and 996.04

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Solution

The fourth proportional to 2,295.55, 3,441.39 and 996.04 is: 1,493.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.55 : 3,441.39 = 996.04 : x
  2. Step 2: Convert to fraction form
    2,295.55/3,441.39 = 996.04/x
  3. Step 3: Cross multiply
    2,295.55x = 3,441.39 × 996.04
  4. Step 4: Simplify right side
    2,295.55x = 3,427,762.10
  5. Step 5: Solve for x
    x = 3,427,762.10/2,295.55
  6. Step 6: Final answer
    x = 1,493.22

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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.