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Finding the Fourth Proportional to 2,073, 3,106.44 and 1,635.30

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Solution

The fourth proportional to 2,073, 3,106.44 and 1,635.30 is: 2,450.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073 : 3,106.44 = 1,635.30 : x
  2. Step 2: Convert to fraction form
    2,073/3,106.44 = 1,635.30/x
  3. Step 3: Cross multiply
    2,073x = 3,106.44 × 1,635.30
  4. Step 4: Simplify right side
    2,073x = 5,079,961.33
  5. Step 5: Solve for x
    x = 5,079,961.33/2,073
  6. Step 6: Final answer
    x = 2,450.54

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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.