Home / 2,469.24-3,407.82-1,421.28

Finding the Fourth Proportional to 2,469.24, 3,407.82 and 1,421.28

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Solution

The fourth proportional to 2,469.24, 3,407.82 and 1,421.28 is: 1,961.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.24 : 3,407.82 = 1,421.28 : x
  2. Step 2: Convert to fraction form
    2,469.24/3,407.82 = 1,421.28/x
  3. Step 3: Cross multiply
    2,469.24x = 3,407.82 × 1,421.28
  4. Step 4: Simplify right side
    2,469.24x = 4,843,466.41
  5. Step 5: Solve for x
    x = 4,843,466.41/2,469.24
  6. Step 6: Final answer
    x = 1,961.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.