Home / 1,982.44-2,967.20-1,462.24

Finding the Fourth Proportional to 1,982.44, 2,967.20 and 1,462.24

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Solution

The fourth proportional to 1,982.44, 2,967.20 and 1,462.24 is: 2,188.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.44 : 2,967.20 = 1,462.24 : x
  2. Step 2: Convert to fraction form
    1,982.44/2,967.20 = 1,462.24/x
  3. Step 3: Cross multiply
    1,982.44x = 2,967.20 × 1,462.24
  4. Step 4: Simplify right side
    1,982.44x = 4,338,758.53
  5. Step 5: Solve for x
    x = 4,338,758.53/1,982.44
  6. Step 6: Final answer
    x = 2,188.60

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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.