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Finding the Fourth Proportional to 3,418.32, 5,122.80 and 1,467.84

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Solution

The fourth proportional to 3,418.32, 5,122.80 and 1,467.84 is: 2,199.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.32 : 5,122.80 = 1,467.84 : x
  2. Step 2: Convert to fraction form
    3,418.32/5,122.80 = 1,467.84/x
  3. Step 3: Cross multiply
    3,418.32x = 5,122.80 × 1,467.84
  4. Step 4: Simplify right side
    3,418.32x = 7,519,450.75
  5. Step 5: Solve for x
    x = 7,519,450.75/3,418.32
  6. Step 6: Final answer
    x = 2,199.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.