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Finding the Fourth Proportional to 2,469.28, 3,408.04 and 1,421.32

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Solution

The fourth proportional to 2,469.28, 3,408.04 and 1,421.32 is: 1,961.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.28 : 3,408.04 = 1,421.32 : x
  2. Step 2: Convert to fraction form
    2,469.28/3,408.04 = 1,421.32/x
  3. Step 3: Cross multiply
    2,469.28x = 3,408.04 × 1,421.32
  4. Step 4: Simplify right side
    2,469.28x = 4,843,915.41
  5. Step 5: Solve for x
    x = 4,843,915.41/2,469.28
  6. Step 6: Final answer
    x = 1,961.67

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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.