Home / 2,273.46-3,408.56-1,102.20

Finding the Fourth Proportional to 2,273.46, 3,408.56 and 1,102.20

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Solution

The fourth proportional to 2,273.46, 3,408.56 and 1,102.20 is: 1,652.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.46 : 3,408.56 = 1,102.20 : x
  2. Step 2: Convert to fraction form
    2,273.46/3,408.56 = 1,102.20/x
  3. Step 3: Cross multiply
    2,273.46x = 3,408.56 × 1,102.20
  4. Step 4: Simplify right side
    2,273.46x = 3,756,914.83
  5. Step 5: Solve for x
    x = 3,756,914.83/2,273.46
  6. Step 6: Final answer
    x = 1,652.51

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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.