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Finding the Fourth Proportional to 3,144.75, 4,714.43 and 1,195.59

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Solution

The fourth proportional to 3,144.75, 4,714.43 and 1,195.59 is: 1,792.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.75 : 4,714.43 = 1,195.59 : x
  2. Step 2: Convert to fraction form
    3,144.75/4,714.43 = 1,195.59/x
  3. Step 3: Cross multiply
    3,144.75x = 4,714.43 × 1,195.59
  4. Step 4: Simplify right side
    3,144.75x = 5,636,519.39
  5. Step 5: Solve for x
    x = 5,636,519.39/3,144.75
  6. Step 6: Final answer
    x = 1,792.36

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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.