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Finding the Fourth Proportional to 2,273.54, 3,405.69 and 1,346.31

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Solution

The fourth proportional to 2,273.54, 3,405.69 and 1,346.31 is: 2,016.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.54 : 3,405.69 = 1,346.31 : x
  2. Step 2: Convert to fraction form
    2,273.54/3,405.69 = 1,346.31/x
  3. Step 3: Cross multiply
    2,273.54x = 3,405.69 × 1,346.31
  4. Step 4: Simplify right side
    2,273.54x = 4,585,114.50
  5. Step 5: Solve for x
    x = 4,585,114.50/2,273.54
  6. Step 6: Final answer
    x = 2,016.73

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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.