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Finding the Fourth Proportional to 3,144.35, 4,714.46 and 1,757.84

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Solution

The fourth proportional to 3,144.35, 4,714.46 and 1,757.84 is: 2,635.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.35 : 4,714.46 = 1,757.84 : x
  2. Step 2: Convert to fraction form
    3,144.35/4,714.46 = 1,757.84/x
  3. Step 3: Cross multiply
    3,144.35x = 4,714.46 × 1,757.84
  4. Step 4: Simplify right side
    3,144.35x = 8,287,240.60
  5. Step 5: Solve for x
    x = 8,287,240.60/3,144.35
  6. Step 6: Final answer
    x = 2,635.60

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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.