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Finding the Fourth Proportional to 2,273.58, 3,411 and 793.20

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Solution

The fourth proportional to 2,273.58, 3,411 and 793.20 is: 1,190.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.58 : 3,411 = 793.20 : x
  2. Step 2: Convert to fraction form
    2,273.58/3,411 = 793.20/x
  3. Step 3: Cross multiply
    2,273.58x = 3,411 × 793.20
  4. Step 4: Simplify right side
    2,273.58x = 2,705,605.20
  5. Step 5: Solve for x
    x = 2,705,605.20/2,273.58
  6. Step 6: Final answer
    x = 1,190.02

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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.