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Finding the Fourth Proportional to 3,168.10, 4,753.26 and 1,414.36

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Solution

The fourth proportional to 3,168.10, 4,753.26 and 1,414.36 is: 2,122.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168.10 : 4,753.26 = 1,414.36 : x
  2. Step 2: Convert to fraction form
    3,168.10/4,753.26 = 1,414.36/x
  3. Step 3: Cross multiply
    3,168.10x = 4,753.26 × 1,414.36
  4. Step 4: Simplify right side
    3,168.10x = 6,722,820.81
  5. Step 5: Solve for x
    x = 6,722,820.81/3,168.10
  6. Step 6: Final answer
    x = 2,122.04

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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.