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Finding the Fourth Proportional to 3,414.42, 5,121.74 and 1,334.90

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Solution

The fourth proportional to 3,414.42, 5,121.74 and 1,334.90 is: 2,002.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.42 : 5,121.74 = 1,334.90 : x
  2. Step 2: Convert to fraction form
    3,414.42/5,121.74 = 1,334.90/x
  3. Step 3: Cross multiply
    3,414.42x = 5,121.74 × 1,334.90
  4. Step 4: Simplify right side
    3,414.42x = 6,837,026.87
  5. Step 5: Solve for x
    x = 6,837,026.87/3,414.42
  6. Step 6: Final answer
    x = 2,002.40

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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.