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Finding the Fourth Proportional to 3,100.43, 4,644.49 and 1,451.98

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Solution

The fourth proportional to 3,100.43, 4,644.49 and 1,451.98 is: 2,175.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.43 : 4,644.49 = 1,451.98 : x
  2. Step 2: Convert to fraction form
    3,100.43/4,644.49 = 1,451.98/x
  3. Step 3: Cross multiply
    3,100.43x = 4,644.49 × 1,451.98
  4. Step 4: Simplify right side
    3,100.43x = 6,743,685.36
  5. Step 5: Solve for x
    x = 6,743,685.36/3,100.43
  6. Step 6: Final answer
    x = 2,175.08

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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.